Practice AREAS RELATED TO CIRCLES - 11 | 11. AREAS RELATED TO CIRCLES | CBSE 10 Mathematics
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AREAS RELATED TO CIRCLES

11 - AREAS RELATED TO CIRCLES

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the area of a sector of a circle with radius 6 cm and angle 60°.

💡 Hint: Use the sector area formula.

Question 2 Easy

What is the length of the arc for a sector with an angle of 45° in a circle with a radius of 10 cm?

💡 Hint: Use the arc length formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the area of a sector with a radius of 5 cm and an angle of 30°?

3.93 cm²
2.94 cm²
7.85 cm²

💡 Hint: Think about what part of the circle this represents.

Question 2

True or False: The area of a segment can be calculated directly without knowing the area of the corresponding sector.

True
False

💡 Hint: Remember how these areas relate to each other.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A circle has a radius of 30 cm. Find the area of the segment formed when a chord subtends a 45° angle at the center.

💡 Hint: Use the law of sine to find the height of the triangle.

Challenge 2 Hard

For a circle with a diameter of 28 m, find the area of the major segment when an inscribed angle measures 70°.

💡 Hint: You have to first find the area of the circle.

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