Question

Find the perimeter of this quarter circle with radius,

r
= 38mm.
Give your answer as an expression in terms of
π
.PLEASE HELP I NEED THE ANSWER ASAP

Answer 1

19
`\pi` + 76 mm

Explanation:

First, use the circumference formula to find the perimeter of the entire circle:

c = 2
`\pi`r

c = 2
`\pi`(38)

c = 76
`\pi`

Divide this by 4, since the question asks for the perimeter of the quarter circle:

76
`\pi`/4

= 19
`\pi`

19
`\pi` is the arc length section of the perimeter. The length of the other 2 sides of the perimeter, formed by the radius, can be found by doubling 38.

38(2) = 76

Add this to 19
`\pi`:

19
`\pi` + 76

So, the expression is 19
`\pi` + 76 mm