Exam: Skill #77- Calculate The Area And Circumference Of A Circle

1. Find the distance around a circle with a diameter of 9 ft.

The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is given as 9 ft. Plugging this value into the formula, we get C = π(9) = 28.26 ft. Therefore, the correct answer is 28.26ft, 28.26, 28.26 feet, 28.26feet, 28.26 ft.

Explanation

The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is given as 9 ft. Plugging this value into the formula, we get C = π(9) = 28.26 ft. Therefore, the correct answer is 28.26ft, 28.26, 28.26 feet, 28.26feet, 28.26 ft.

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2. Find the CIRCUMFERENCE of the given circle.

The given options all represent the circumference of the circle. The circumference of a circle is the distance around the circle. It is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. The options 12.56, 12.56 mi, 12.56mi, and 12.56 miles all represent the same value of the circumference, which is 12.56 units.

Explanation

The given options all represent the circumference of the circle. The circumference of a circle is the distance around the circle. It is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. The options 12.56, 12.56 mi, 12.56mi, and 12.56 miles all represent the same value of the circumference, which is 12.56 units.

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3. The can of paint shown below has a radius of 5.5 inches. What is the length of the label that goes around the outside of the can.

The length of the label that goes around the outside of the can is equal to the circumference of the can. The formula for the circumference of a circle is 2πr, where r is the radius of the circle. Given that the radius of the can is 5.5 inches, the circumference can be calculated as 2 * 3.14 * 5.5 = 34.54 inches. Therefore, the correct answer is 34.54 in, 34.54 inches, 34.54in, 34.54inches, or 34.54.

Explanation

The length of the label that goes around the outside of the can is equal to the circumference of the can. The formula for the circumference of a circle is 2πr, where r is the radius of the circle. Given that the radius of the can is 5.5 inches, the circumference can be calculated as 2 * 3.14 * 5.5 = 34.54 inches. Therefore, the correct answer is 34.54 in, 34.54 inches, 34.54in, 34.54inches, or 34.54.

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4. Find the AREA of the given circle below.

The answer options provided all express the same measurement of the area of the given circle, which is 78.5 square feet. The different formats (with or without decimals, with or without units) are all valid and equivalent ways to represent the same value.

Explanation

The answer options provided all express the same measurement of the area of the given circle, which is 78.5 square feet. The different formats (with or without decimals, with or without units) are all valid and equivalent ways to represent the same value.

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5. The trampoline below has a jumping mat that is 12 feet wide. What is the mat's area?

The area of a rectangle is calculated by multiplying its length by its width. In this case, the width of the trampoline's jumping mat is given as 12 feet. Therefore, to find the area, we multiply 12 feet by the length of the mat, which is not provided in the question. Without the length, we cannot calculate the area.

Explanation

The area of a rectangle is calculated by multiplying its length by its width. In this case, the width of the trampoline's jumping mat is given as 12 feet. Therefore, to find the area, we multiply 12 feet by the length of the mat, which is not provided in the question. Without the length, we cannot calculate the area.

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