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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti

not be used.

circumference = 57 feet, area = 251 square feet

diameter = 10 ft

circumference = 6

feet, area = 361 square feet

Flower Bed A

circumference = 101 feet, area = 251 square feet

circumference = 104 feet, area = 1001 square feet

Tradius = 6 ft

circumference = 125 feet, area = 361 square feet

circumference = 121 feet, area = 1441 square feet

Flower Bed B

1 Answer

3 votes

Answer:

Flower bed A has circumference = 31 feet, area = 79 feet²

Flower bed B has circumference = 38 feet, area = 113 feet²

Explanation:

* Lets revise the rules of the circumference and the area of the circle

- The circumference of the circle = 2πr

- The Area of the circle = πr²

- r is the radius of the circle and it is half the diameter of the circle

# Flower bed A has a diameter 10 feet

∵ The radius = 1/2 the diameter

∴ The radius = 1/2 × 10 = 5 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 5 = 31.42 ≅ 31 feet

∵ The area = πr²

∴ The area = π (5)² = 78.54 ≅ 79 feet²

* Flower bed A has circumference = 31 feet, area = 79 feet²

# Flower bed B has a radius 6 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 6 = 37.70 ≅ 38 feet

∵ The area = πr²

∴ The area = π (6)² = 113.10 ≅ 113 feet²

* Flower bed B has circumference = 38 feet, area = 113 feet²

* These answers not in the choices

User Prokop Hapala
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