Question

Find the area and the circumference of the circle. Round your answers to the nearest hundredth.

27
area: ? square units
circumference: ? units

Answer 1

As Per Provided Information

Diameter of Circle is 27 units

Radius will be 27/2 units

Radius will be 13.5 units

Calculating Area of circle.

`\boxed{ \qquad\huge\sf \:Area_((Circle)) \: = \pi {r}^(2)}`

`\qquad\longrightarrow\sf \:Area_((Circle)) = 3.14 * {13.5}^(2) \\ \\ \\ \qquad\longrightarrow\sf \:Area_((Circle)) = 3.14 * 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_((Circle)) = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_((Circle)) \: = 572.3 \: square \: units`

Now finding the circumference of the circle.

`\qquad\boxed{\huge\sf \: Circumference_((Circle)) = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_((Circle)) = 2 * 3.14 * 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_((Circle)) = 6.28 * 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_((Circle)) = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_((Circle)) = 85 \: units`

Answer 2

Explanation:

Given :- Diameter of circle :- 27 units , radius :- 13.5 units

Area :- πr²

Area :- 3.14×13.5²

Area :- 572.265

rounding off to nearest hundredth = 572.3 sq. units

Circumference :- 2πr

= 2 ×3.14 × 13.5 units

= 84.78 units

rounding off to nearest hundredth = 85 units