Area related to circle

1.

Multiple Choice

30 sec

1 pt

What is the area of sector of a circle with central angle $60\degree$

$\pi r^2$

$2\pi r$

$\frac{\pi r^2}{6}$

$\frac{\pi r^2}{2}$

2.

Multiple Choice

30 sec

1 pt

Say 'TRUE' or 'FALSE'
If areas of two circles are equal, then their circumferences are also equal

TRUE

FALSE

3.

Multiple Choice

30 sec

1 pt

Say 'TRUE' or 'FALSE'
The distance traveled by a circular wheel of diameter d cm in one revolution is 2πd cm

TRUE

FALSE

4.

Multiple Choice

10 sec

1 pt

The region bounded by two radii and corresponding arc of a circle is

A) Segment

B) Sector

C) Area

D) Perimeter

5.

Multiple Choice

10 sec

1 pt

The region bounded by chord and corresponding arc of a circle is

A) Perimeter

B) Sector

C) Area

D) Segment

6.

Multiple Choice

1 min

1 pt

Angle of the sector is 90°then the ratio of Area of circle to area of sector is

A) 1:4

B) 1:2

C) 4:1

D) 2:3

7.

Multiple Choice

30 sec

1 pt

Area of circle is 154cm², and Area of minor sector is 7.7cm², then calculate area of major sector of circle.

A) 145 cm²

B) 146.3 cm²

C) 77 cm²

D) 147 cm²

8.

Multiple Choice

30 sec

1 pt

The perimeter of square circumscribing circle of radius 'a' cm is

8a cm

6a cm

10a cm

16a cm

9.

Multiple Choice

30 sec

1 pt

Area of a sector with central angle $\theta$ is

\frac{\theta}{360}\times\pi r^2

$\frac{\theta}{360}\times2\pi r$

$\frac{\theta}{360}\times\pi d$

10.

Multiple Choice

45 sec

1 pt

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

A) 2 Units

B) 4 Units

C) 3 Units

D) 7 Units

11.

Multiple Choice

2 mins

1 pt

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.( Use Pi =3.14)

25.2 in²

28.5 in²

31.4 in²

38.2 in²

12.

Multiple Choice

2 mins

1 pt

Find the arc length. Leave your answer in terms of π.

7/4π

7/2π

1/8π

45π

13.

Multiple Choice

2 mins

1 pt

Area of a sector of central angle 120° of a circle is 3π cm². Then the length of the corresponding arc of this sector is:

5.8 cm

6.1 cm

6.3 cm

6.8 cm

14.

Multiple Choice

2 mins

1 pt

What is the area of the shaded region?

25π - 50

25π - 100

5π - 50

5π - 100

15.

Multiple Choice

30 sec

1 pt

If the sum of areas of two circles with radii R₁ and R₂ is equal to the area of the circle of radius R then

R₁ + R₂ = R

(R₁)² + (R₂)² = R²

R₁ + R₂ < R

(R₁)² + (R₂)² R²

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