Practice Summary - 11.2 | 11. AREAS RELATED TO CIRCLES | CBSE 10 Mathematics
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Summary

11.2 - Summary

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Practice Questions

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Question 1 Easy

Find the length of an arc with a radius of 4 cm and an angle of 30°.

💡 Hint: Use the arc length formula: \\( \\frac{30}{360} \\times 2\\pi(4) \\).

Question 2 Easy

What is the area of a sector with radius 3 cm and angle 60°?

💡 Hint: Apply the area formula for the sector.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for the length of an arc?

💡 Hint: Think about the proportion of the circle represented by the angle.

Question 2

True or False: The area of a segment is always less than the area of the corresponding sector.

💡 Hint: Consider how segments and sectors relate to each other!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A circular pond has a diameter of 20 m. A path goes around it, 1 m wide. Find the area of the path if the angle subtended is 90°.

💡 Hint: Utilize formulas for both sectors.

Challenge 2 Hard

A wheel of radius 15 cm turns through an angle of 150°. What is the distance covered along the edge?

💡 Hint: Distance is the length we find, don’t forget to calculate!

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