Measuring Space: Perimeter and Area — sample questions with answers.

1404 verified measuring space: perimeter and area questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): A median of a triangle divides it into two congruent triangles. Reason (R): The two triangles have equal area.

(A) Both A and R are true and R is the correct explanation of A.	(B) Both A and R are true but R is not the correct explanation of A.
(C) A is true but R is false.	(D) A is false but R is true.

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2 marks Short answer

A sector of a circle of radius 21 cm has central angle 90°. Find (i) the length of its arc and (ii) its perimeter (π = 22/7).

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(i) 33 cm (ii) 75 cm

3 marks Short answer

A cyclic quadrilateral has sides 4, 5, 7 and 10 units. Find its area using Brahmagupta's formula.

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36 sq units

5 marks Long answer

A circle has radius 42 cm (π = 22/7). (i) Find its circumference. (ii) Find its area. (iii) Find the length of an arc that subtends 60° at the centre. (iv) Find the area of the corresponding sector. (v) Find the perimeter of that sector.

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(i) 264 cm. (ii) 5544 cm². (iii) 44 cm. (iv) 924 cm². (v) 128 cm.

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 9 Mathematics, board-pattern, with a fresh answer key every time.

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