882π or 2770.88 in²
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Calculate the area of the quadrant and the areas of the two semicircles and then add these areas together.
A quadrant is one-fourth of a circle. It has a radius of 42 in.
The two semi-circles add up to a full circle of a diameter of 42 in.
Use the area formula for circle of radius r:
We can use A(q) and A(s) for the area of the quadrant and semi-circle, then calculate the full area as follows:
- A(q) + 2*A(s) =
- (1/4)*π*42² + π*(42/2)² =
- π*(42/2)² + π*(42/2)² =
- 2π*21² =
- 882π ≈ 2770.88 in²