Question 28 of 42advanced🔧 ApplyNumerical5 marks
A chord of a circle of radius 15 cm subtends an angle of 60° at the centre of the circle. Find the areas of the corresponding minor and major segments of the circle. (Use π 3.14 and 1.73.)
(i)
minor segment
Answer
20.4375 cm²
(ii)
Answer
686.0625 cm²
Explanation
To find the area of the minor segment, we calculate the area of the minor sector and subtract the area of the triangle formed by the radii and the chord. Since the radii are equal and the subtended angle is 60°, the triangle is equilateral. The area of the major segment is then found by subtracting the minor segment's area from the total area of the circle.