Question

The area of a circle is 25pi sq cm find the length of its arc subtending an angle of 144degree at the centre. Also find the area of the corresponding sector ​

Answer 1

Answer:

Length of arc=12.56 cm

and

area of sector=31.4 sq cm

Step-by-step explanation:

since area is 25pi=pi*r*r

so

r=5cm.

The inscribed triangle is isosceles with two sides 5cm

each.

circumference

=2*pi*r=2*(22/7)*5=220/7

=31.4

so length of arc=31.4*144/360

=12.56cm.....ANS

Area of circle is 25pi

=78.5 sq cm

so area of sector

=78.5*144/360

= 31.4 sq cm....ANS