Question

the perimeter of sector of a circle with radius 5.2 cm is given as 16.4cm find the area of circle

Answer 1

Answer:

15.6 sq.cm.

Step-by-step explanation:

Given :The perimeter of sector of a circle with radius 5.2 cm is given as 16.4 cm

To Find: Area of sector

Solution:

Perimeter of sector = $2r+ \text{Length of Arc}$

Where r is the radius

Now we are given that radius is 5.2 cm

Perimeter is  16.4 cm

So, $16.4=2 \times 5.2 + \text{Length of Arc}$

$16.4-(2 \times 5.2) = \text{Length of Arc}$

$6 = \text{Length of Arc}$

Area of sector =  $\frac{1}{2} r \times \text{Length of Arc}$

                       =  $\frac{1}{2} \times 5.2 \times 6$  

                        =  $15.6$  

Hence the area of sector is 15.6 sq.cm.

Answer 2

Step-by-step explanation:

hope this also will help you