Question

Determine (a) the area and (b) the circumference of the circle.

a. the area of the circle is ___

b. the circumference of the circle is ____

Answer 1

`\huge\boxed{Answer\hookleftarrow}`

Given,

Diameter of the ⭕ (d) = 21 ft

So, radius of the ⭕ (r) = ?

`r = (d)/(2) \\ r = (21)/(2) \\ r = 10.5 \: \: ft`

`\boxed{Radius \ = \ 10.5 \ ft}`

____________________

a) Find the area of the ⭕.

`\boxed{Area \ (a) \ = \ πr^(2)}`

`a = \pi \: r ^(2) \\ a = \pi(10.5) {}^(2) \\ a = 110.25 \: \pi \\ a = 110.25 × 3.14 \\ a = 346.18 \ ft^(2)`

`\boxed{Area \ = \ 346.18 \ ft^(2)}`

____________________

b) Find the circumference of the ⭕.

`\boxed{Circumference \ (c) \ = \ \pi \:d}`

`c = \pi \: d \\ c = \pi(21) \\ c = 21\pi \\ c = 21 × 3.14 \\ c = 65.94 \ ft`

`\boxed{Circumference \ = \ 65.94 \ ft}`

____________________

Value of
`\pi`is taken as 3.14

____________________

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Answer 2

Explanation:

a).

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

= 346.36 cm²

b).

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

= 65.97cm

Hope this helps you