Question

What is the area of the shaded region?

Answer 1

`(75)/(16)\pi` m² or ≈14.73 m²

Explanation:

To find the area of a circle, we use the formula A = πr²

Here we only need to find the area of a sector of the circle. To do so, we need to multiply the area formula by the measured angle divided by 360°

In this case, our measured angle is 30°, so we need to multiply πr² by
`(30)/(360)`

Plugging in our values we get A =
`(30)/(360)\pi (7.5)^(2)` which then simplifies to
`(75)/(16)\pi` m² or ≈14.73 m²