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Over Lesson 11–2 A.A B.B C.C D.D 5-Minute Check units 2 Find the area of the figure. Round to the nearest tenth if necessary.

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Over Lesson 11–2 A.A B.B C.C D.D 5-Minute Check units 2 Find the area of the figure. Round to the nearest tenth if necessary.

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Over Lesson 11–2 A.A B.B C.C D.D 5-Minute Check 3 70 units 2 Find the area of the figure. Round to the nearest tenth if necessary.

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Over Lesson 11–2 A.A B.B C.C D.D 5-Minute Check 6 16 m The area of a kite is 120 square meters. The length of one diagonal is 15 meters. Find the length of the other diagonal.

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Then/Now Find areas of circles. Find areas of sectors of circles. In this lesson we will:

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Vocabulary sector of a circle segment of a circle

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Concept 1

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Example 1 Area of a Circle MANUFACTURING An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square inches. The diameter of the umbrella is 72 inches, and the cover must extend 8 inches in each direction. So the diameter of the cover is or 88 inches. Divide by 2 to find that the radius is 44 inches.

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Example 1 Area of a Circle Answer:The area of the cover is about 6082 square inches. Area of a circle Substitution Use a calculator.

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A.A B.B C.C D.D Example ft 2 A swimming pool company manufactures circular covers for above ground pools. If the cover is 1 foot longer than the pool on each side, find the area of the cover to the nearest tenth of an foot.

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Example 2 Use the Area of a Circle to Find a Missing Measure ALGEBRA Find the radius of a circle with an area of 58 square inches to the nearest tenth of an inch. Answer:The radius of the circle is about 4.3 in. Area of a circle Substitution Divide each side by . Simplify. 4.3 ≈ r Take the positive square root of each side. = r

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A.A B.B C.C D.D Example in. ALGEBRA Find the radius of a circle with an area of 45 square inches to the nearest tenth of an inch

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Concept 2

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Example 3 Area of a Sector PIE A pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to the nearest hundredth? Step 1Find the arc measure of a pie slice. Since the pie is equally divided into 10 slices, each slice will have an arc measure of 360 ÷ 10 or 36. Step 2Find the radius of the pie. Use this measure to find the area of the sector, or slice. The diameter is 9 inches, so the radius is 4.5 inches.

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Example 3 Area of a Sector Area of a sector x = 36 and r = 4.5 Use a calculator. Answer:The area of one slice of pie is about 6.36 square inches.

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A.A B.B C.C D.D Example in 2 PIZZA A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?

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