8.2 Area of Cirlces - Problem Solving

8.2 Area of Circles

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Review:

Find the circumference of the given circle. Round to the nearest tenth. Use 3.14 for pi.

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Review:

Find the circumference of the given circle. Round to the nearest tenth. Use 3.14 for pi.

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Review:

Find the circumference of a circle with a radius of 4.2 centimeters. Round to the nearest tenth, and use 3.14 for pi.

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Find the area of the given circle to the nearest tenth of a square meter. Use 3.14 for pi.

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Find the area of the given circle to the nearest tenth of a square inch. Use 3.14 for pi.

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Find the area of the given semicircle. Round to the nearest tenth.

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Find the area of the given semicircle. Round to the nearest tenth.

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Find the area of the given quarter circle. Round to the nearest tenth.

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Any questions so far?

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You have a sprinkler positioned in your yard that directs a 12-foot spray in a circular pattern. About how much of the lawn does the sprinkler water if there is a rectangular flower bed 3 feet by 6 feet that is also in the path of the sprinkler? Round to the nearest tenth.

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Find the area of the shaded region. Round to the nearest tenth, use 3.14 for pi.

Do not round until the final answer.

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Find the area of the shaded region. Round to the nearest tenth throughout the whole problem. Use 3.14 for pi.

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Find the area of the shaded region.

Multiple Choice

Harry's Pizzeria is having a sale on medium and large pizzas. Medium pizzas are 10 inches in diameter and cost $7.99. Large pizzas are 14 inches in diameter and cost $14.99. Which size pizza is the better deal?

(Hint: Find the cost per square inch of each pizza.)

• Medium

• Large

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A motion detector at the corner of a building can detect motion outside within a radius of 20 feet as shown. Within what area can it detect motion? Round to the nearest tenth and use 3.14 for pi.

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A hockey rink is divided into three parts. The center part, called the neutral zone, is a rectangle with a center circle, as shown in the picture on the left. What is the area of the neutral zone around the center circle? Round to the nearest tenth.

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A face-off circle on a hockey rink is 30 feet across. At its center is a red spot 2 feet in diameter. What is the area of the face-off circle that is not red? Round to the nearest tenth.

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You are making doughnuts. First you cut out a circle of dough with a diameter of 8 centimeters. Then you cut a whole in the middle with a diameter of 3 centimeters. What is the area of the top of the doughnut? Round to the nearest tenth.

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You family has a circular pool with a radius of 10 feet. You want to install a 3-foot sidewalk around the pool. What will be the area of the walkway? Round to the nearest tenth.

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The tabletop shown has a diameter of 3 feet. What is the area of the tabletop to the nearest tenth?