Practice Areas of Sector and Segment of a Circle - 11.1 | 11. AREAS RELATED TO CIRCLES | CBSE 10 Mathematics
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Areas of Sector and Segment of a Circle

11.1 - Areas of Sector and Segment of a Circle

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the area of a sector of a circle with radius 6 cm if the angle is 60°?

💡 Hint: Remember to use the area formula for sections based on the angle.

Question 2 Easy

How would you calculate the radius if you know the area of a sector is 15.7 cm² and the angle is 90°?

💡 Hint: Start by rearranging the sector area formula.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the area of a sector with an angle of 90° and radius of 8 cm?

10.05 cm²
40.24 cm²
16.76 cm²

💡 Hint: Think about how much of the whole circle you are using.

Question 2

Is the area of a segment always smaller than the area of a sector?

True
False

💡 Hint: Remember what each area contains!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a circle of radius 30 cm, a sector has an angle of 150°. Calculate the area of the sector and segment formed.

💡 Hint: Remember to break down the segments and use the triangle's properties.

Challenge 2 Hard

If a clock's hour hand covers an angle of 240° and has a radius of 12 cm, what is the total area covered?

💡 Hint: Use the entire hand length and the angle covered!

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