Question

A composite figure has a radius of 10 cm​

Answer 1

Given:

The radius of the circle is 10 cm

The central angle of the circle is (360 - 90)° = 270°

We need to determine the area of the composite figure.

Area of the composite figure:

The area of the figure can be determined using the area of the sector formula.

Thus, we have;

$A=(\frac{\theta}{360}) \times \pi r^2$

Substituting $\theta=270$ and $r=10$ in the above formula, we get;

$A=(\frac{270}{360}) \times (3.14) (10)^2$

Simplifying, we get;

$A=(\frac{270}{360}) \times (314)$

Multiplying, we get;

$A=\frac{84780}{360}$

Dividing the terms, we get;

$A=235.5 \ cm^2$

Thus, the area of the composite figure is 235.5 cm²

Hence, Option C is the correct answer.