Question

the perimeter of a sector of a circle of area 25 pi square centimeter is 20 centimeter find area of sector

Answer 1

Answer:

follow me

mark as BRAINLIST dear.....

Answer 2

SOLUTION

We have,

Area of circle = 25π

$= > \pi {r}^{2} = 25\pi \\ = > {r}^{2} = 25 \\ = > r = \sqrt{25} = 5 \\ \\ = > perimeter \: of \: sector \: of \: circle = 20cm \\ = > 2r + \frac{ \theta}{2r} \times 2\pi \: r = 20 \\ \\ = > 2r + r \theta = 20 \\ = > 2 \times 5 + 5 \theta = 20 \\ = > 5 \theta = 10 \\ = > \theta = 2 \\ \\ = area \:of \: sector \: = \frac{ \theta}{</strong><strong>3</strong><strong>6</strong><strong>0</strong><strong>°</strong><strong>} \times \pi \: r </strong><strong>^</strong><strong>2</strong><strong>\\ </strong><strong>$

hope it helps ☺️