Question

1. Given that the area of a sector is 76cm

2

. Find the radius given that the

angle is 90°. Find the perimeter of the sector.

2. The perimeter of a sector is 45cm . Given that the angle is 110°, find

the value of the radius.

Answer 1

This question is worth more than 5 points but i will do it for you

Step-by-step explanation:

$1. \: \: \: area \: of \: sector = \frac{90}{360} \times \frac{22}{7} \times {r}^{2} \\ 76 = \frac{90 \times 22 \times r ^{2} }{360 \times 7} \\ 90 \times 22 \times {r}^{2} = 360 \times 7 \times 76 \\ = \frac{360 \times 7 \times 76}{90 \times 22} = \sqrt96.7 = 9.8cm \\ radius \: is \: 9.8cm$

1

$perimeter \: of \: sector = 2r + \frac{90}{360} \times 2 \times \frac{22}{7} \times 9.8 \\ = 19.6 + 15.4 = 35cm$

2. Simply use the one above as guide. It will help you