Question

How to find the area of a sector whose radius is 35 cm and perimeter is 147 cm.

Answer 1

Answer:1347.5 square units

Step-by-step explanation:

radius = 35 cm  

Perimeter of sector = 147 cm

L + 2r  =  147  

L + 2 (35) = 147

L + 70 = 147

L = 77 cm

Now we have the length of an arc and radius. So we have to use the second formula to find the area of the given sector.

Area of the sector = (1/2) x l r square units      

= (1/2) x 77 x 35 ==> 38.5 x 35 ==> 1347.5 square units