Question

The diameter of each circle is 14 cm. The area not covered by the circles is ___.
$(Take\pi =\frac{22}{7})$

[1 mark]

• A. 840 $c{m}^2$
• B. 1680 $c{m}^2$
• C. 3080 $c{m}^2$
• D. 1540 $c{m}^2$

Answer 1

The correct option is A 840 $c{m}^2$

Length of the rectangle = 5 × 14 = 70 cm (∵ There are 5 circles along the length.)

Breadth of the rectangle = 4 × 14 = 56 cm (∵ There are 4 circles along the breadth.)

Area of rectangle = 70 × 56= 3920 $c{m}^2$

Radius = $\frac{diameter}{2}$ = 7 cm

Area = $\frac{22}{7}=7^2=154c{m}^2$

Required area = Area of the rectangle - (Total number of circles × Area of each circle)
= 70 × 56 - (20 × 154)
= 840 $c{m}^2$