MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
Six identical sectors, each subtending an angle of 60∘ at the centre of a circle of radius 7 cm, are arranged with their straight edges meeting at a common point to form a decorative flower-shaped plate.
Work out the following:
(a) Show that the total area of the plate can be expressed as 6×61πr2, where r is the radius of each sector.
(b) Calculate the numerical value of the area of the plate, taking π=722.
(c) Find the length of the outer boundary of the plate (the petals), giving the answer to one decimal place.