Question

Someone please help i’m very confused

Answer 1

(1) 132.67 square meters

(2) 379.94 square meters

Explanation:

A barn is in the shape of a rectangle with each corner angle a right angle.

`\therefore Central\: \angle \:(\theta) =90°`

Since, goat is tied at a corner of the barn, so she would be able to graze the grass of sector of circle with radius (r) = 13 m.

Area of field grazed by goat = area of sector of circle

`= ( \theta)/(360 \degree) * \pi {r}^(2) \\ \\ = (90 \degree)/(360 \degree) * 3.14 * {13}^(2) \\ \\ = (1)/(4) * 3.14 * 169\\ \\ = (1)/(4) *530.66 \\ = 132.665 \\ = 132.67 \: {m}^(2)`

`(2) \\ similarly \: for \: r \: = 22 \: m \\ area \: of \: sector = 379.94 \: {m}^(2)`