To solve this problem I'd reccomend first finding the area of the circle, then dividing that area by 4 to find the area of the shaded area.
Let's begin!
To find the area of a circle, we will use this formula:
A = (pi) r^2
(pi multiplied by the radius squared)
The radius of a circle is the distance from the center outwards. The diameter goes straight across the circle, through the circle. Radius is basically half of a circle's diameter.
The math problem states that we approximate pi to be 22/7, so we will use that in place of the pi symbol.
Finding the area of the circle:
(pi) r^2 = A
(Write out formula)
(22/7) 12^2 = ?
(Input the values that we now, r equals 12 because that is the radius shown on the image the problem provided.)
22/7 × 144 =
(Start solving, we did 12^2 first)
452 4/7 in^2 (inches squared or square inches)
(Always use your units, math teachers usually don't allow naked numbers. You'll notice that our answer is in fraction form, that's okay if it is, unless your teacher says otherwise, because some teachers prefer answers in decimal form rather than in fraction form)
Now that we know the whole area of the circle, we can finally find the area of the shaded region :)
452 4/7 ÷ 4 = 113 1/7 in^2 (square inches or inches squared)
The area of the shaded region is 113 1/7 in^2
(Hope this helps :) )