Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

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Presentation transcript:

Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

Questions over hw?

Daily Check

Circumference & Arc Length of Circles

Circumference The distance around a circle

or Circumference

Find the EXACT circumference. 1.r = 14 feet 2.d = 15 miles

Ex 3 and 4: Find the circumference. Round to the nearest tenths.

5. A circular flower garden has a radius of 3 feet. Find the circumference of the garden to the nearest hundredths. C = ft

Arc Length The distance along the curved line making the arc (NOT a degree amount)

Arc Length

Ex 6. Find the Arc Length Round to the nearest hundredths 8m 70  

Ex 7. Find the Arc Length Round to the nearest hundredths 12 in 110  

Ex 8. Find the exact Arc Length.

Ex 9. What happens to the arc length if the radius were to be doubled? Halved?

Classwork Practice from Notes Page

2 Types of Answers Rounded Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your answer

Area The amount of space occupied. r A=  r 2

Find the EXACT area. 1.r = 29 feet 2.d = 44 miles

Find the area. Round to the nearest tenths.

Example 3 If  S has a diameter of 10 inches, find the area of the circle to the nearest hundredths. A = in 2

Sector the region bounded by two radii of the circle and their intercepted arc.

Area of a Sector

Example 4 Find the area of the sector to the nearest hundredths. A  cm 2 60  6 cm Q R

Example 5 Find the exact area of the sector. 6 cm 120  7 cm Q R

Example 6 Find the area of a sector with a central angle of 45° if the diameter of the circle is 12 inches. Round to the nearest hundredths. A  in 2

Example 7 A spinner is divided into 12 equal sections and the radius of the spinner is 4 inches. Every other section is shaded. Find the exact total area of the shaded region on the spinner. A = 8  in 2

Homework 9 Problems