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Mathematics
10th
grade
Areas Related to Circles | Chapter Assessment | English | Grade 10
7 questions
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- 1. Multiple Choice
If the area of a circle is 314 cm², then what will be the circumference of the circle? (Take π = 3.14)
31.4 cm
62.8 cm
6280 cm
314 cm
- 2. Multiple Choice
If the area of a sector of a circle is 3.85 cm² and the angle of the sector is 36⁰, then find the radius of the circle. (Take π =22/7)
3.5 cm
3.85 cm
12.25 cm
1.1 cm
- 3. Multiple Choice
In the given figure, O is the centre of a circle. If ∠ROQ = ∠MON = 60⁰, OR = 7 cm and OM = 21 cm, then the area of the shaded portion is _______. (Take π = 22/7)
231 cm²
25.67 cm²
205.33 cm²
256.67 cm²
- 4. Multiple Choice
If the area of sector AOBX of a circle is 100.25 cm², and the area of the enclosed triangle AOB is 78 cm², what will be the area of the enclosed segment?
22.25 cm²
78 cm²
12.25 cm²
32.25 cm²
- 5. Multiple Choice
If a chord of a circle of radius 80 cm subtends an angle of 60° at the centre, then the area of the corresponding segment of the circle is _______. ( Take π = 3.14 )
581.12 cm²
7.264 cm²
1749.12 cm²
518.12 cm²
- 6. Multiple Choice
A square park has each side of length 100 m. At each corner of the park there is a flower bed in the form of a quadrant of a circle of radius 14 m. Find the area of the remaining part of the park.
9548 m²
9348 m²
9384 m²
9684 m²
- 7. Multiple Choice
A field is in the shape of an equilateral triangle with each side equal to 50 m. At each vertex of the triangle a goat is tied. The first goat is tied with a rope of length 10 m. The second goat with a rope of length 15 m and the third with a rope of 20 m. Find the area of the field which cannot be grazed by the goats. (Take π = 3.14)
701.86 m²
963.51 m²
911.18 m²
1081.25 cm²
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