A flower garden is in the shape of a circle. the circumference of the garden is 20 meters. What is the area of the garden? Use 3.14 for pi and round your answer to the nearest whole number.

Respuesta :

Answer:

Area of the flower garden = 31.75 square meters

Step-by-step explanation:

Circumference of the circle shaped flower garden = 20 meters

Now, The circumference of circle = 2π × radius

⇒ 2π × radius = 20

⇒ π × radius = 10

⇒ radius = 3.18 meters

Area of the flower garden = π × radius²

⇒ Area of the flower garden = 3.14 × 3.18²

⇒ Area of the flower garden = 31.75 square meters

The circumference of a circle is also referred to as the distance around that circle.

The circumference of the flower garden which is circular in shape is given as = 20 meters

The formula for the circumference of a circle is given as 2πr

Step 1

We have to find the radius of the circular garden

Hence: 2πr = 20m

π = 3.14

To find the radius, the formula would be given as

r = C/2π

Where C = Circumference of the circle

r = 20/2 x 3.14

r = 20/6.28

r = 3.1847133758m

Step 2

We can find the area of the circle now

The formula for the area of the circle is given as:

A = πr²

A = 3.14 x 3.1847133758²

A = 31.847133758m²

Therefore, the area of the flower garden to the nearest whole number is 32m²

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