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=((\theta)/(360)) * \pi r^2`

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

`A=((270)/(360)) * (3.14) (10)^2`

Simplifying, we get;

`A=((270)/(360)) * (314)`

Multiplying, we get;

`A=(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.