MCQ Questions on Area and Volume

11- The perimeter of a triangle is 14cm and its inradius is 3cm. What is the area of this triangle?
(A) 54cm²
(B) 32cm²
(C) 21cm²
(D) 42cm²
12-Areas of two circles are in the ratio 1:2. What will be the ratio of their circumferences?
(A) 3:√2
(B) 2:3
(C) 1:√2
(D) 4:9
13- Find the circumference and area of a circle with radius 2.6 cm.
(A) 16.3cm and 21.23cm²
(B) 44cm and 2.56cm²
(C) 12cm and 23.2cm²
(D) 34cm and 78cm²
14-The parallel sides of a trapezium measure 6cm and 8cm. Calculate its area if the distance between the parallel lines is 15cm.
(A) 345 cm²
(B) 441 cm²
(C) 112 cm²
(D) 105 cm²
15-If the radius of the sphere is 3r then what is its volume?
(A) 18πr³
(B) 36πr²
(C) 36πr³
(D) 22πr³
16-Find the area of a circle with circumference 108 cm.
(A) 910.56 cm²
(B) 915.04 cm²
(C) 908.18 cm²
(D) 927.81 cm²
17-The area of a circle directly varies with the square of its radius. If the area of a circle with radius 5 cm is ‘C’ cm², find the area of the circle with radius 25 cm.
(A) 13C cm²
(B) 25C cm²
(C) 11C cm²
(D) 34C cm²
18- Find its area when a sector has an angle 15o and is cut out from a circle of radius 28cm.
(A) 1026.7 cm²
(B) 1028.8 cm²
(C) 1027.6 cm²
(D) 1020.7 cm²
19-The circumference of two circles are in the ratio 1:9. The ratio of their area is:
(A) 4:9
(B) 81:16
(C) 9:4
(D) 1:81

20- The base and height of the triangle are in ratio 2:5. If the area of the triangle is 245 cm2 find the base and height of the triangle.
(A) Height 9cm and Base 7cm
(B) Height 14cm and Base 35cm
(C) Height 1cm and Base 22cm
(D) Height 64cm and Base 10cm
ANSWERS:
11-(C), 12-(C), 13-(A), 14-(D), 15-(C), 16-(D), 17-(B), 18-(A), 19-(D), 20-(B)