Question

The area of ​​a circle is 18π sq.cm. Find the length of the are subtending an angle of 300 "at the center and also the area of ​​the corresponding sector​

Answer 1

This question is wrong but I solve this question

QUETION :- the area of circle is 81π cm square. find the length of the arc subtending an angle of 300° at the centre and also the area of the corresponding sector?

Answer:-

360° has a area = 81π cm²

300° has a area = 81π ×300°cm²

360°

= 81π ×30°cm²

36

= 81π×5 cm²

6

= 405π cm²

6

= 135 πcm²

2

= 2πr(circumference) has→81πcm² area

or 81πcm² area → 2πr are lenght

→ lenght of arc = 2πr×135

162

πr² = 81cm²

→ r = √81

π

.

. . Lenght of arc cooresponding to 300° Angle.

= 270π √81

162 π

= 5π √ 81

3. π

= 5 √ 81π

3