The area of a circle is given, and the area of a shaded sector with a 90 degree ang...
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Problem
The area of a circle is given, and the area of a shaded sector with a 90 degree angle is requested.
Step-by-step solution
The shaded sector has a central angle of 90 degrees, which is 1/4 of the total circle (360 degrees). Therefore, the area of the shaded sector is 1/4 of the total area of the circle.
Answer
$ \frac{1}{4} \times 10 \text{ in}^2 = 2.5 \text{ in}^2 $