MCQ on Measuring Circles (Grade 7)

 Multiple Choice Questions

MEASUREMENT ON CIRCLES

1. Formula used to find the circumference of a circle is 

(i) 2πr units                  (ii) πr² + 2 r units
(iii)πr² sq. units            (iv) πr3 cu. units

2.  In the formula, C = 2πr, ‘r’ refers to

(i) circumference               (ii) area
(iii) rotation                       (iv) radius

3.  If the circumference of a circle is 82π, then the value of ‘r’ is

(i) 41 cm                      (i5i) 82 cm
(iii) 21 cm                    (iv) 20 cm

4. Circumference of a circle is always

(i) three times of its diameter
(ii)  more than three times of its diameter
(iii) less than three times of its diameter
(iv) three times of its radius

5. The formula used to find the area of the circle is  sq. units.

(i) 4 πr²                        (ii) πr²
(iii) 2 πr²                      (iv)  πr² + 2r.

6. The ratio of the area of a circle to the area of its semicircle is

(i) 2:1               (ii) 1:2             (iii) 4:1             (iv) 1:4 

7.  Area of a circle of radius ‘n’ units is

(i) 2πr^p sq. units           (ii) πm² sq. units
(iii) πr² sq. units           (iv) πn² sq. units

8. The formula to find the area of the circular path is

(i) π (R² − r²) sq. units           (ii) πr² sq. units 
(iii) 2πr² sq. units         (iv)  πr² + 2r sq. units

9. The formula used to find the area of the rectangular path is

(i) π (R² − r²) sq. units   

(ii) (L × B) − ( l × b)  sq. units   

(iii) LB sq. units                      

(iv) lb sq. units

10. The formula to find the width of the circular path is

(i) (L − l) units             (ii) (B − b) units
(iii) (R − r) units          (iv) (r − R) units

11. Which term is used to represent the perimeter of a circle?

(i) Radius                    (ii) Diameter
(iii) Circumference    (iv) Chord

12. If the diameter of a circle is 20 cm, the length of its circumference is

(i) 11π cm        (ii) 20π cm       (iii) 40π cm      (iv) 80π cm

13. If the circumference of a circle is 16π, its area is

(i) 8π                (ii) 16π             (iii) 32π            (iv) 64π

14. What is the area of the shaded part?

(i) 81π sq. m.               (ii) 49π sq. m.
(iii) 4π sq. m.               (iv) 32π sq. m.

Answers to MCQs: 

1.  (i) 2πr units 

2.  (iv) radius

3.

  

4.

5.  (ii) πr²

6.  (i) 2:1

7.  (iv) πn² sq. units

8.  (i) π (R² − r²) sq. units

9.  (ii) (L × B) − ( l × b)  sq. units

10.  (iii) (R − r) units

11.  (iii) Circumference

12.  

13.

14.