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Published byDavid Dixon Modified over 9 years ago
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Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)
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Questions over hw?
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Daily Check
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Circumference & Arc Length of Circles
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Circumference The distance around a circle
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or Circumference
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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
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Find the EXACT circumference. 1.r = 14 feet 2.d = 15 miles
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Ex 3 and 4: Find the circumference. Round to the nearest tenths.
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5. A circular flower garden has a radius of 3 feet. Find the circumference of the garden to the nearest hundredths. C = 18.85 ft
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Arc Length The distance along the curved line making the arc (NOT a degree amount)
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Arc Length
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Ex 6. Find the Arc Length Round to the nearest hundredths 8m 70
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Ex 7. Find the Arc Length Round to the nearest hundredths 12 in 110
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Ex 8. Find the exact Arc Length.
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Ex 9. What happens to the arc length if the radius were to be doubled? Halved?
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Classwork Practice from Notes Page
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Area The amount of space occupied. r A= r 2
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Find the EXACT area. 1.r = 29 feet 2.d = 44 miles
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Find the area. Round to the nearest tenths.
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Another Example! If S has a diameter of 10 inches, find the area of the circle to the nearest hundredths. A = 78.54 in 2
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Sector the region bounded by two radii of the circle and their intercepted arc.
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Area of a Sector
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Example Find the area of the sector to the nearest hundredths. A 18.85 cm 2 60 6 cm Q R
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Example Find the exact area of the sector. 6 cm 120 7 cm Q R
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Example 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 14.14 in 2
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Example 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
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Homework 9 Problems
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