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

Class 10
Chapter  Areas Related to Circles
Subject Math
Category MCQ

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}}}}

(C)  \displaystyle \frac{{\pi r\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}}}}

(C)  \displaystyle \frac{{\pi r\theta }}{{{{{360}}^{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

(C)  \displaystyle \frac{{308}}{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

(C)  \displaystyle \frac{{205}}{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

(C)  \displaystyle \frac{{49}}{2} cm²

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

Answer

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


Also Read Class 10 Math NCERT Solution
Also Read Class 10 Important Questions [Latest]

 

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