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GH = 11

Step-by-step explanation:

Triangle KGJ is a mini version (I don't remember my terminology, it's been years) of Triangle KHI.

This means that the ratio between the sides on Triangle KGJ should be the same as the ratio between the sides on Triangle KHI.

KJ/KG  =  KI/KH

48/22  =  (48 + 24) / (22 + GH)

48/22  =  72 / (22 + GH)

(48/22) * (22 + GH)  =  72

22 + GH  =  72 / (48/22)

GH  =  [72 / (48/22)] - 22

GH  = [72 * (22/48)] - 22

GH = [72 * 22 / 48] - 22

GH = [1584 / 48] - 22

GH = [33] - 22

GH = 11

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a