MathematicsA sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240°. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is
A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240°. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is
A
79.5 cm
B
81.3 cm
C
83.4 cm
D
88.5 cm
Solution:
Let r be the radius of the new circle, then Therefore, the radius of the new circle is 81.3 cm. So, option 2 is correct.