2 Types of Answers Exact Rounded Use the Pi button on your calculator

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2 Types of Answers Exact Rounded Use the Pi button on your calculator Leaves Pi in the answer Don’t type Pi in on your calculator

Working Backwards with Circumference & Arc Length

Ex 1 Find the radius. Round to the nearest hundredth.  60◦ B

Ex 2 Find the circumference. Round to the nearest hundredth. 80◦  B

Ex 3 Find the area of the shaded region. Round to the nearest hundredth. 75◦ B 

Ex 4 Find the measure of . A B  6 in

Area of Circles & Sectors

2 Types of Answers Exact Rounded Use the Pi button on your calculator Leaves Pi in the answer Don’t type Pi in on your calculator

The amount of space occupied. Area The amount of space occupied. r A= pr2

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Find the area. Round to the nearest tenths. 53 cm 7.6 yd

Example 3 If S has a diameter of 10 inches, find the area of the circle to the nearest hundredths. A = 78.54 in2

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

Area of a Sector

Find the area of the sector to the nearest hundredths. Example 4 Find the area of the sector to the nearest hundredths. R 6 cm 60 Q A  18.85 cm2

Find the exact area of the sector. 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  14.14 in2

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 in2

Working Backwards

Ex 1 Find the radius of the circle if the area of the circle is 225 cm2.

Ex 2 The area of the shaded region is (3/2) Ex 2 The area of the shaded region is (3/2). Find the measure of the arc of the shaded region. x 3 cm 

Ex 3 The area of the shaded region is 54. Find the diameter.  135

Ex 4 Find the radius. Round to the nearest hundredth.  100◦

Ex 5 Find the radius. Round to the nearest hundredth. 80◦ 

 Ex 3. 160◦ 10 yd Skills Check – Round to the nearest hundredths. A B