Question

Helpppp meeee pleaseeeee?!!!

Answer 1

`154 {m}^(2)`

Explanation:

Before we start we have to first acknowledge that this diagram is showing a quarter of a circle. This is because the angle of the diagram is 90° which is a quarter of 360° (a full circle). Since we acknowledge that, all we have do now is find the area of the circle and then divide the answer by 4. The formula for the area of a circle is

`a = \pi {r}^(2)`

We were told that

`d = 28 \: \: \: and \: \: \: \pi = (22)/(7) \\ \\ since \: d \: is \: 28 \: then \: \\ r \: = (28)/(2) \\ \\ r = 14`

Therefore the area is

`a = \pi {r}^(2) \\ a = (22)/(7) ( {14}^(2) ) \\ \\ a = (22)/(7) * 196 \\ \\ a = 22 * 28 \\ a = 616`

`we \: found \: the \: area \: of \: the \: entire \\ \: circle \: however \: we \: need \: to \: find \\ \: the \: area \: of \: quarter \: of \: the \: circle \\ a = (616)/(4) \\ \\ a = 154 {m}^(2)`