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

Mathematics

1 answer:

user100 [1]3 years ago

8 0

Answer:

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

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

Step-by-step explanation:

* <em>Lets revise the rules of the circumference and the area of the circle</em>

- 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

# <em>Flower bed A has a diameter 10 feet</em>

∵ 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

# <em>Flower bed B has a radius 6 feet</em>

∵ 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

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