Question 3 of 7intermediate🔧 ApplyNumerical4 marks
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding: (i) minor segment (ii) major sector. (Use π = 3.14)
(i)
Answer
Area of minor segment = 28.5 cm²
(ii)
Answer
Area of major sector = 235.5 cm²
Explanation
This question tests understanding of sectors and segments of a circle. The minor segment is found by subtracting the area of the triangle from the area of the minor sector. The major sector is found by subtracting the minor sector from the total area of the circle. Since the angle is 90°, the triangle formed is right-angled, making area calculation straightforward.