Chapter 11 · Class 10 CBSE · Worksheet

Areas Related to Circles Worksheet — Class 10 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Areas Related to Circles

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements correctly defines a 'sector' of a circle?

A.The region enclosed by an arc and its corresponding chord.
B.The region enclosed by two radii and a diameter.
C.The region enclosed by two radii and their corresponding arc.
D.The region enclosed by two chords and an arc.

Difficulty: Easy

Q2.A student calculates the area of a sector with radius 'r' and angle 'θ' as (θ/360°) × πr². Their friend says this formula is only for minor sectors. Is the friend correct?

A.Yes, the formula is only for minor sectors.
B.No, the formula applies to both minor and major sectors.
C.The formula for a major sector is (θ/180°) × πr².
D.The formula for a major sector is πr² - (θ/360°) × πr².

Difficulty: Easy

Q3.Ravi wants to find the length of the arc of a sector with radius 7 cm and angle 90°. He applies the formula: Arc Length = (90/360) × π(7)². What mistake did Ravi make?

A.He used the wrong value for π.
B.He used the formula for the area of a sector instead of arc length.
C.He used the incorrect angle in the formula.
D.He squared the radius when it should be multiplied by 2.

Difficulty: Easy

Q4.What is the area of a quadrant of a circle with a radius of 14 cm? (Use π = 22/7)

A.154 cm²
B.77 cm²
C.308 cm²
D.38.5 cm²

Difficulty: Easy

Q5.The area of a segment of a circle is calculated by subtracting the area of the corresponding __________ from the area of the corresponding __________.

A.triangle, sector
B.sector, triangle
C.chord, arc
D.radius, diameter

Difficulty: Easy

Q6.Consider a major sector of a circle with radius 'r' and minor angle 'θ'. Which of the following is a valid method to find the area of the major sector?

A.Calculate (θ/360°) × πr² and subtract this from the area of the full circle.
B.Calculate ((360° - θ)/360°) × πr².
C.Calculate the area of the minor sector and multiply it by 2.
D.Calculate the area of the full circle and divide it by 2.

Difficulty: Easy

Q7.If the area of a sector of a circle with radius 6 cm is 18π cm², what is the measure of the central angle of the sector?

A.180°
B.90°
C.120°
D.270°

Difficulty: Easy

Q8.A clock's minute hand is 10 cm long. How far does the tip of the minute hand move in 30 minutes? (Use π = 3.14)

A.15.7 cm
B.31.4 cm
C.62.8 cm
D.10 cm

Difficulty: Easy

Answer Key — Sample Questions+
Q1:The region enclosed by two radii and their corresponding arc.
Q2:No, the formula applies to both minor and major sectors.
Q3:He used the formula for the area of a sector instead of arc length.
Q4:154 cm²
Q5:triangle, sector
Q6:Calculate ((360° - θ)/360°) × πr².
Q7:180°
Q8:31.4 cm

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About This Worksheet

TopicAreas Related to Circles
BoardCBSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Where can I download a free Areas Related to Circles worksheet for Class 10?+
You can download a free Areas Related to Circles PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Areas Related to Circles worksheet?+
Each SparkEd worksheet for Areas Related to Circles contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
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Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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