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Measuring Space Perimeter and Area — Practice Quiz

CBSE · Class 9 · Mathematics

Try a 4-question quiz on Measuring Space Perimeter and Area for CBSE Class 9 Mathematics: tap an answer to check it and see why.

76 questions84 flashcards19 formulas & key relations5 concepts

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Quick Quiz: Measuring Space Perimeter and Area

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1

A triangle has sides 13 cm, 14 cm, and 15 cm. What is its area using Heron's formula?

2

A triangle has sides 9 cm, 10 cm, and 17 cm. What is its area using Heron's formula?

3

A triangle has sides 12 cm, 35 cm, and 37 cm. What is its area using Heron's formula?

4

A triangle has sides 6 cm, 8 cm, and 10 cm. What is its area using Heron's formula?

76 Questions·
multiple choicemultiple correctnumerical

Sample Questions

1multiple choice
3 marks

A cyclic quadrilateral has side lengths 5 cm, 5 cm, 6 cm, and 6 cm. What is its area using Brahmagupta's formula?

Show answer

30 cm²

Step 1: Find the semi-perimeter: s = 1/2(5 + 5 + 6 + 6) = 11 cm. Step 2: Apply Brahmagupta's formula. Step 3: Area = √((11-5)(11-5)(11-6)(11-6)) = √(6 × 6 × 5 × 5) = √900 = 30 cm².

2multiple choice
3 marks

A rectangle has length 9 cm and width 12 cm. What area is obtained by Brahmagupta's formula for this cyclic quadrilateral?

Show answer

108 cm²

Step 1: For a rectangle with sides 9 cm, 9 cm, 12 cm, 12 cm, the semi-perimeter is s = 1/2(9 + 9 + 12 + 12) = 21 cm. Step 2: Apply Brahmagupta's formula. Step 3: Area = √((21-9)(21-9)(21-12)(21-12)) = √(12 × 12 × 9 × 9) = √11664 = 108 cm².

3multiple choice
3 marks

A cyclic quadrilateral has side lengths 7 cm, 8 cm, 9 cm, and 10 cm. What is its area using Brahmagupta's formula?

Show answer

36√5 cm²

Step 1: Find s = 1/2(7 + 8 + 9 + 10) = 17 cm. Step 2: Substitute into Brahmagupta's formula. Step 3: Area = √((17-7)(17-8)(17-9)(17-10)) = √(10 × 9 × 8 × 7) = √5040 = 36√5 cm².

4multiple choice
3 marks

A circle has radius 14 cm. What is the area of a sector subtending 90° at the centre?

Show answer

154 cm²

Step 1: Use area of sector = πr² × θ/360. Step 2: Substitute r = 14 cm and θ = 90°. Step 3: Area = π × 196 × 90/360 = π × 49 = 154 cm² using π = 22/7.

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Frequently Asked Questions

What are the important topics in Measuring Space Perimeter and Area for CBSE Class 9 Mathematics?
Key topics in Measuring Space Perimeter and Area include Perimeter of Common Shapes, Circle, Circumference, and π, Arc Length and Track Problems, Area of Triangle and Special Results. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Measuring Space Perimeter and Area?
There are 76 questions on Measuring Space Perimeter and Area. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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