Question

The area of a sector, with central angle 150

, of a circle is 231 sq cm. If = 22/7, what is the

circumference (in cm) of the circle?​

Answer 1

Answer:

Circumference of circle = 83.39 cm

Step-by-step explanation:

Area of a sector = (theta / 360) x π r²

Theta = 150°, π = 22/7

∴ 231 = (150 / 360) x (22 / 7) x r²

∴ 231 = (3300 / 2520) x r²

∴ r² = (231 x 2520) / 3300

∴ r² = 582120 / 3300

∴ r² = 176.4

∴ r = √176.4

∴ r = 13.28 cm

Circumference of circle = 2 π r

= 2 x 3.14 x 13.28

= 83.39 cm

Answer 2

Step-by-step explanation:

area of sector = pi*r^2(sector angle/360)=231

22/7*r^2*(150/360)=231

r=13.28

circumference =2*pi*r

=2*(22/7)*13.28

=83.47