Perimeter and Area

16. Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is

• (a) 21 cm                   
• (b) 10.5 cm               
• (c) 14 cm                   
• (d) 7 cm

15. In reference to a circle the value of π is equal to

• (a) area/ circumference                              
• (b) area/ diameter
• (c) circumference/ diameter                      
• (d) circumference/ radius

14. Circumference of a circle is always

• (a) more than three times of its diameter
• (b) three times of its diameter
• (c) less than three times of its diameter
• (d) three times of its radius

13. Circumference of a circle of diameter 5 cm is

• (a) 3.14 cm               
• (b) 31.4 cm               
• (c) 15.7 cm                
• (d) 1.57 cm

12. Circumference of a circle disc is 88 cm. Its radius is

• (a) 8 cm                     
• (b) 11 cm                   
• (c) 14 cm                   
• (d) 44 cm

11. Area of circular garden with diameter 8 m is

• (a) 12.56 m²                  
• (b) 25.12 m²                  
• (c) 50.24 m²                   
• (d) 200.96 m²

10. Area of a circle with diameter m radius n and circumference p is

• (a) 2πn                       
• (b) πm²                              
• (c) πp²                                
• (d) πn²

9. A table top is semi-circular in shape with diameter 2.8 m. Area of this table top is

• (a) 3.08 m²                     
• (b) 6.16 m²                     
• (c) 12.32 m²                   
• (d) 24.64 m²

8. If radius of a circle is increased to twice its original length, how much will the area of the circle increase?

• (a) 1.4 times            
• (b) 2 times                 
• (c) 3 times                 
• (d) 4 times

7. What will be the area of the largest square that can be cut out of a circle of radius 10 cm?

• (a) 100 cm²                    
• (b) 200 cm²                    
• (c) 300 cm²                    
• (d) 400 cm²

6. What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?

• (a) 4 cm                     
• (b) 5 cm                     
• (c) 8 cm                     
• (d) 10 cm

5. The circumference of a circle whose area is 81πr², is

• (a) 9πr                        
• (b) 18πr                      
• (c) 3πr                        
• (d) 81πr

4. The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is

• (a) 5π                         
• (b) 10π                       
• (c) 15π                       
• (d) 20π

3. If the radius of a circle is tripled, the area becomes

• (a) 9 times                 
• (b) 3 times                 
• (c) 6 times                 
• (d) 30 times

2. The area of a semicircle of radius 4r is

• (a) 8πr²                              
• (b) 4πr²                              
• (c) 12πr²                           
• (d) 2πr²

1. Length of tape required to cover the edges of a semi-circular disc of radius 10 cm is

• (a) 62.8 cm               
• (b) 51.4 cm               
• (c) 31.4 cm                
• (d) 15.7 cm