Question

Find the circumference of circle if the area of the quadrant of the circle is 154cm ​

Answer 1

Quadrant refers to 1/4th of the circle.

Given, 1/4 A = 154 cm^2 [A is the area]

Therefore,

$\frac{1}{4} \pi {r}^{2} = 154 {cm}^{2} \\ = > \pi {r}^{2} = 616 {cm}^{2} \\ = > {r}^{2} = 196 {cm}^{2} \\ = > r = 13cm$

Hence, circumference

$= 2\pi \: r = \frac{44}{7} \times 13 = 81.71 \: (approx.)$

HOPE THIS COULD HELP!!!

Answer 2

$\large\underline{\underline{\sf Given:}}$

• Area of quadrant of Circle = 154cm²

$\large\underline{\underline{\sf To\:Find:}}$

• Circumference of Circle (C)= ?

$\large\underline{\underline{\sf Solution:}}$

We know that ,

$\large{\boxed{\sf Area\:of\: Quadrant (A)=\frac{1}{4}πr^2}}$

$\large\implies{\sf 154=\frac{1}{4}×\frac{22}{7}×r^2 }$

$\large\implies{\sf r^2=\frac{154×4×7}{22} }$

$\large\implies{\sf r=14cm }$

___________________________________

${\boxed{\sf Circumference\:of\:Circle(C)=2πr}}$

$\large\implies{\sf C=2×\frac{22}{7}×14}$

$\large\implies{\sf C=88cm }$

$\large\underline{\underline{\sf Answer:}}$

•°• Circumference of Circle is 88cm