Find the area of the figure. Round to the nearest tenth if necessary.

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Presentation transcript:

Find the area of the figure. Round to the nearest tenth if necessary. 198 units2 A B C D 5-Minute Check 1

Find the area of the figure. Round to the nearest tenth if necessary. 83.1 units2 A B C D 5-Minute Check 2

Find the area of the figure. Round to the nearest tenth if necessary. 70 units2 A B C D 5-Minute Check 3

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

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

sector of a circle segment of a circle Vocabulary

Concept 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 8 + 72 + 8 or 88 inches. Divide by 2 to find that the radius is 44 inches. Example 1

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

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. A B C D 314.2 ft2 Example 1

Take the positive square root of each side. = r 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. Area of a circle Substitution Divide each side by . Take the positive square root of each side. = r Simplify. 4.3 ≈ r Answer: The radius of the circle is about 4.3 in. Example 2

ALGEBRA Find the radius of a circle with an area of 45 square inches to the nearest tenth of an inch Example 2

Concept 2

Step 1 Find the arc measure of a pie slice. 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 1 Find 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 2 Find 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. Example 3

Answer: The area of one slice of pie is about 6.36 square inches. 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. Example 3

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? 19.24 in2 A B C D Example 3