Warm Up Dec. 17 Find the center and radius: x2 + y2 + 8x – 6y = 1

Slides:

Advertisements

Similar presentations

Lesson 10.1 Parts of a Circle Today, we are going to…

Advertisements

Review Ch. 10 Complete all problems on a separate sheet of paper.

Tangents Sec: 12.1 Sol: G.11a,b A line is ______________________ to a circle if it intersects the circle in exactly one point. This point.

Chapter 11. If 2 sides of a triangle are radii then the triangle is ______________.

Tangents & Chords Arcs & Angles Equations of Circles & Parabolas Misc

Inscribed Angles Section 10.5.

TMAT 103 Chapter 2 Review of Geometry. TMAT 103 §2.1 Angles and Lines.

Geometry Section 9.4 Special Right Triangle Formulas

Warm UpApr. 24 th 1.The perimeter of an equilateral triangle is 36 inches. Find the length of an altitude. Give the exact answer (in simplified radical.

Answers to homework problems – page 8

Warm – up 2. Inscribed Angles Section 6.4 Standards MM2G3. Students will understand the properties of circles. b. Understand and use properties of central,

Section 10.3 – Inscribed Angles

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Warm-Up Find the area of the shaded region. 10m 140°

Arcs & Angles Chapter 10. Draw & Label Central Angle Minor Arc Major Arc k.

11-3 Inscribed Angles Learning Target: I can solve problems using inscribed angles. Goal 2.03.

Review May 16, Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the.

Warm Up Week 1. Section 10.3 Day 1 I will use inscribed angles to solve problems. Inscribed Angles An angle whose vertex is on a circle and whose.

Circle GEOMETRY Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.

10.3 Inscribed Angles. Definitions Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle Intercepted Arc.

Section 10.3 Inscribed Angles. Inscribed Angle An angle whose vertex is on a circle and whose sides contain chords of the circle Inscribed Angle.

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INTERCEPTED ARC INSCRIBED ANGLE.

Section 9-5 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B C D are inscribed.

Area of regular polygons

Aim: Review the distance and midpoint Do Now: in the triangle, find the lengths of two legs (-2,4) (3,6) (3,4)

Honors Geometry Section 5.5 Special Right Triangle Formulas.

Objective After studying this section, you will be able to begin solving problems involving circles 9.2 Introduction to Circles.

Section 10-3 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B D is an inscribed.

Topic 12-3 Definition Secant – a line that intersects a circle in two points.

PSAT MATHEMATICS 9-J Triangles G EOMETRY 1. Angles of a Triangle In any triangle, the sum of the measures of the three angles is _______. 2.

1. What measure is needed to find the circumference

Circles Vocabulary.

Find the area of the triangle. POLYGONS Find the area of the triangle.

Circles Definitions.

Warm – up Find the radius of the circle given the picture below.

Angles in Circles Review

Warm Up Which of these quadrilaterals would fit the definition of a parallelogram? Rhombus Trapezoid Rectangle Kite All these quadrilaterals have 2 pairs.

MATH 1330 Test 4 Review.

Difficulty: Medium In the figure above, inscribed triangle ABC is equilateral. If the radius of the circle is r, then the length of arc AXB is a) b) c)

Section 10.1 – The Circle.

12-1 Tangent Lines.

Warm up! Find the perimeter of the shaded region.

8.4 Areas of Regular Polygons

Benchmark 3 Review 1 Name________________________________________

Geometry Review: First Semester

Angles in Circles Review

Jeopardy (Mr. Jansen) Triangles

MATH 1330 Test 4 Review.

Circle Unit Notes AA1 CC.

Test is next class Test is open note

Unit 3 Circles.

Daily Check For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

Bell Ringer – Tuesday, May 5, 2015

Rhombus Kite Trapezoid 30° - 60° - 90° 45°- 45° - 90°

Section 10.3 – Inscribed Angles

Circles and inscribed angles

Parallelograms, Triangles, Rhombuses Rectangles & Trapezoids Regular

Section 10.4 Use Inscribed Angles And Polygons Standard:

Inscribed Angles & Inscribed Quadrilaterals

Warm Up. What measure is needed to find the circumference or area

Welcome Back! Do Now: Draw the following polygons.

Arcs and Sectors Circles Lesson 2.

7.3 Special Right Triangles

Bell Ringer Write an example of each of the following: Radius ____

Warm Up April 21st, 2014 Draw the diagram of the triangle and label the sides. If tanB = 13/14 find the angle measure of B?

Presentation transcript:

Warm Up Dec. 17 Find the center and radius: x2 + y2 + 8x – 6y = 1 Determine the focus and directrix y = -3(x + 1)2 – 4 Suppose a chord of a circle is 10 inches long and its midpoint is 12 inches from the center of the circle. Find the diameter of the circle. Find the area of the shaded region and the length of arc AC. 6

Homework Check & Questions? Section 1 Section 2 9. E 23. X = 2.5 10. Tangent line 24. X = 5 11. D 25. X = 18 12. B 13. A 14. C 15. H 16. E

Section 3 Section 4 9. 63 4. 90 10. 117 5. 54 11. 180 6. 50 12. 215 7. 54 13. 63 8. 36 14. 117 9. 50 15. 297 10. 72 16. 35 17. 278 8. B 18. 297

Section 5 Section 6 142 2. PQ = 21 65 5. 26 40 6. X = 44 28 57.5 52

Equations of Circles & Parabolas Tangents & Chords Arcs & Angles Equations of Circles & Parabolas Misc. 200 400 600 800 1000

Tangents & Chords for 200 If MC = 4 and PB = 16, find BN.

Tangents & Chords for 400 QC is tangent to circle O and QC = 8 and BC = 4. Find the length of the diameter of circle O.

Tangents & Chords for 600 True or false? Every chord is a diameter.

Tangents & Chords for 800 If RT = 13 and WR = 5, find PQ..

Tangents & Chords for 1000 Suppose a chord of a circle is 10 inches long and its midpoint is 4 inches from the center of the circle. Find the length of the radius of the circle.

Arcs & Angles for 200 If quadrilateral RSTV is inscribed in a circle and mR = 42, then mT = _?_.

Arcs & Angles for 400 Solve for x.

Find the measure of arc AXB. Arcs & Angles for 600 Find the measure of arc AXB.

Arcs & Angles for 800 If the measure of arc AC is 30⁰ and the measure of angle 3 is 60⁰, find the measure of arc DB.

Arcs & Angles for 1000 Find the measure of angle LKN.

Equations of Circles & Parabolas for 200 Write the equation of a circle that has diameter length 9 inches and center (-2, 1).

Equations of Circles & Parabolas for 400 Write the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).

Equations of Circles & Parabolas for 600 Write an equation of the parabola that has focus (2, -3) and directrix y = 1.

Equations of Circles & Parabolas for 800 Rewrite the equation of the circle in information form. Then identify the center and radius. x2 + y2 – 4x – 6y = -8

Equations of Circles & Parabolas for 1000 Given the equation of the parabola: y = 2(x – 1)2 + 3. Find the vertex, the focus, and the equation of the directrix.

Misc. for 200 The length of a leg of an isosceles right triangle is 9 cm. Find the length of the hypotenuse?

Misc. for 400 The shortest side of a 30-60-90 triangle measures 8 inches. Find the length of the long leg?

Misc. for 600 The measure of an altitude of an equilateral triangle is 6√3. Find the perimeter of the triangle.

Misc. for 800 The circle below has a radius of 4. Find the area of the shaded sector and the length of arc ABC.

Misc. for 1000 A rhombus has perimeter 40 cm. If the length of the longer diagonal is 16 cm, determine the length of the shorter diagonal?