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

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    0
    2021-10-21T05:59:23+00:00

    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

    0
    2021-10-21T05:59:32+00:00

    Answer:

    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

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45:7+7-4:2-5:5*4+35:2 =? ( )