The perimeter of a sector of a circle (which includes the arc and the two radii) is 45 cm
MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
The perimeter of a sector of a circle (which includes the arc and the two radii) is 45 cm. The radius of the circle is 7 cm. (Take π=722.)
(i) Form an equation in θ, the central angle of the sector in degrees, that represents the given information about the perimeter.
(ii) Solve the equation to find θ.
(iii) Using the value of θ obtained, calculate the area of the sector.