## if the area of the circle measures 9/4 Pi sq cm square what is the circumference of the circle in the terms of Pi

Question

if the area of the circle measures 9/4 Pi sq cm square what is the circumference of the circle in the terms of Pi

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2 months 2021-10-21T05:57:40+00:00 2 Answers 0 views 0

1. Pi r squared = area of circle
Pi d = circumference

Therefore 9/4 is the radius squared so the squared root of this is 3/2 (radius)

You then double this to get diameter which is 6/2 or 3 Pi

c = 3πcm

Step-by-step explanation:

from the question area of the circle is given to b 9/4 πcm²

circumference of the circle  in terms of π = ?

the formula for finding the Area of a circle = πr²

Since the area was given to be

(9/4)π = πr²

divide both sides by π

we have

9/4 = r²

we apply the cross multiplication rule

so we have,

4r² =  9

divide both sides by 4

r² = 9/4

r = √9/4

r = 3/2

now to find the circumference of the circle , we apply the formula for finding the circumference of a circle which is

c = 2πr

from our calculations radius r = 3/2

c = 2 ( π × 3/2)  [ 2 cancels 2]

c = 3πcm