Question

15. The area of the circle is
24.64m2. The circumference of the
circle is
Full Marks : 1
14.64m
16.36m
17.60m​

Answer 1

Question :-

The area of the circle is 24.64 m². The circumference of the circle is :

(a) 14.64 m

(b) 16.36 m

(c) 17.60 m

Answer :-

let the radius of the circle be r .

____________

Now,

A/q,

Area of circle = 24.64 m²

=> πr² = 24.64 m²

=> ( 22/7 ) × r² = 24.64 m²

=> ( 1/7 ) × r² = 1.12 m²

=> r² = 7.84 m²

=> ( r )² = ( 2.8 m )²

On square-rooting both the sides,

=> r = 2.8 m

________________

Hence,

circumference

= 2πr

= 2 × ( 22/7 ) × 2.8 m

= 2 × 22 × 0.4 m

= 17.6 m

________________

Hence, the circumference of the circle is 17.6 m.

________________

Answer 2

Answer:

so here given is area of circle = 24.64 m ^2

and πr^2 = area of the given circle

πr^2= 24.64

22/7 × r^2 = 24.64

r^2 :-

$\frac{24.64×7}{22}$

r^2 =7.84

r = √7.84

r = 2.8m

thus radius is 2.8m

and circumference of any given circle is = 2πr

$2 \times \frac{22}{7} \times 2.8m$

=44× 0.4 m

= 17.6 m

thus d) 17.60m

is the answer