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## Mathematics

## Mathematics

## 10th

## grade

# Areas Related to Circles | Chapter Assessment | English | Grade 10

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- 1. Multiple Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice30 seconds1 pt
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 Choice30 seconds1 pt
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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