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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD Lesson 11-3

Chapter 11 19 Glencoe Geometry

11-3 Areas O f C

ircles The area of a circle is equal to π times the square of radius. Area of a CircleIf a circle has an area of A square units

and a radius of r units, then A πr 2

Find the area of the circle p.

A = πr 2

Area of a circle

= π(6) 2 r = 6 ≈ 113.1 Use a calculator. The area of the circle is about 113.1 square meters. If d = 12 m, then r = 6 m.

Exercises

Find the area of each circle. Round to the nearest tenth. 1.

C11-011A-890520-B5 in.

2.

C11-011A-890520-C

20 m 3.

C11-011A-890520-D9.5 in.

78.5 in

2

314.2 m

2

283.5 in.

4.

C11-011A-890520-E

11 ft 5.

C11-011A-890520-F88 m

6.

C11-011A-890520-G

11 in.

95.0 ft

2

6082.1 m

2

380.1 in

2 Find the indicated measure. Round to the nearest tenth.

7. The area of a circle is 153.9 square centimeters. Find the diameter.

14.0 cm

8. Find the diameter of a circle with an area of 490.9 square millimeters.

25.0 mm

9. The area of a circle is 907.9 square inches. Find the radius. 17.0 in.

10. Find the radius of a circle with an area of 63.6 square feet. 4.5 ft

Study Guide and Intervention

Areas of Circles and Sectors

Geo-SG11-03-08-860188

OrExample

C11-011A-890520-A

12 m p Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 11 20 Glencoe Geometry

11-3Study Guide and Intervention (continued)

Areas of Circles and Sectors

Areas of Sectors A sector of a circle is a region bounded by a central angle and its intercepted arc. Area of a SectorIf a sector of a circle has an area of A square units, a central angle measuring x°, and a radius of r units, then A = x 360
πr 2

Find the area of the shaded sector.

A x 360
? πr 2

Area of a sector

36
360
? π(5) 2 x = 36 and r = 5 ≈ 7.85 Use a calculator. The area of the sector is about 7.85 square inches.

Exercises

Find the area of each shaded sector. Round to the nearest tenth. 1.

C11-012A-890520-B

3 ft

45°

2.

C11-012A-890520-C

10 m

100°

3.

C11-012A-890520-D

20°

7 m

3.5 ft

2

87.3 m

2

145.4 m

2 4.

C11-012A-890520-E

15°

20 ft 5.

C11-012A-890520-F

36°

10 m 6.

C11-012A-890520-G

7.5 cm

88°

52.4 ft

2

282.7 m

2

43.2 cm

2

7. SANDWICHES For a party, Samantha wants to

have finger sandwiches. She cuts sandwiches into circles. If she cuts each circle into three congruent pieces, what is the area of each piece?

6.5 in

2

Example

C11-012A-890520-A

5 in.

36°

C11-012A-890520-H

2.5 in.

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