NCERT Class 10 Math Chapter 11 MCQ Question Answer - Areas Related to Circles

Class 10 Math Chapter 11 MCQ Question Answer

1. Area of sector of the circle of angle θ is:

(A) $\displaystyle \frac{{\pi r\theta }}{{{{{180}}^{o}}}}$

(B) $\displaystyle \frac{{\pi {{r}^{2}}\theta }}{{{{{360}}^{o}}}}$

(D) $\displaystyle \frac{{\pi {{r}^{2}}\theta }}{{{{{90}}^{o}}}}$

Answer

Ans – (B) $\displaystyle \frac{{\pi {{r}^{2}}\theta }}{{{{{360}}^{o}}}}$

2. Length of an arc of a sector of angle is :

(A) $\displaystyle \frac{{\pi r\theta }}{{{{{180}}^{o}}}}$

(B) $\displaystyle \frac{{2\pi r\theta }}{{{{{180}}^{o}}}}$

(D) None of these

Answer

Ans – (A) $\displaystyle \frac{{\pi r\theta }}{{{{{180}}^{o}}}}$

3. The ratio of circumference and diameter of a circle is:
(Α) 2π : 1
(Β) π: 1
(C) 1:1
(D) None of these

Answer

Ans – (Β) π: 1

4. Area of the sector of a circle with radius 6 cm and angle of sector 30° is:
(A) 7π cm²
(B) 9π cm²
(C) 3π cm²
(D) бπ cm²

Answer

Ans – (C) 3π cm²

5. Area of the sector of a circle with radius 14 cm and angle of sector 60° is:
(A) 154 cm²

(B) $\displaystyle \frac{{208}}{3}$ cm²

(D) 196 cm²

Answer

Ans – (C) $\displaystyle \frac{{308}}{3}$ cm²

6. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is :
(A) 162 cm²

(B) $\displaystyle \frac{{154}}{3}$ cm²

(D) None of these

Answer

Ans – (B) $\displaystyle \frac{{154}}{3}$ cm²

7. The length of the minute hand of a clock is 7 cm. The area swept by the minute hand in 15 minutes is:

(A) $\displaystyle \frac{{77}}{2}$ cm²

(B) $\displaystyle \frac{{154}}{3}$ cm²

(D) $\displaystyle \frac{{170}}{3}$ cm²

Answer

Ans – (A) $\displaystyle \frac{{77}}{2}$ cm²

Also Read	Class 10 Math NCERT Solution
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