Mathematics

A sector of a circle has an area of 55 cm2. If the radius of…

A sector of a circle has an area of 55 cm2. If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]
  • A.
    45o
  • B.
    63o
  • C.
    75o
  • D.
    90o
Correct Answer: Option B
Explanation

Area of a sector = (frac{theta}{360}times pi r^2\55=frac{theta}{360}times frac{22}{7}times frac{10times 10}{1}\theta=frac{360 times 55 times 7}{22 times 10 times 10}\theta = 63^{circ})