Question

find the area of a sector of a circle with radius 7cm if the angle of the sector is 60°​

Answer 1

Answer:

25.64cm.sp

Step-by-step explanation:

area of a sector of circle = (60°/360°)πr^2

=(1/6)3.14×7×7

=(1/6)3.17×49

=(1/6)×153.86

=153.86/6

=25.64cm.sp

Answer 2

$\huge\mathbb{SOLUTION:-}$

• We have to find the Area of sector

$\boxed{\sf{Area\:of\: sector=\frac{\theta}{360{}^{\circ}}\pi r{}^{2}}}$

$\sf \:\: where\: Given\:that\: \theta=60{}^{\circ}$

Radius=7cm

Now the area of sector

$\sf \implies Area\:of\: sector=\cancel{\frac{60{}^{\circ}}{36\cancel0{}^{\circ}}}\times \frac{22}{\cancel7}\times 7\times \cancel{7}\\ \\ \sf\implies Area\:of\: sector= \frac{1\times 22\times 7}{6}\\ \\ \sf\implies Area\:of\: sector=\cancel{\frac{154}{6}}\\ \\ \sf\implies Area\:of\: sector=25.66cm{}^{2}$

$\boxed{\sf{Area\:of\: sector=25.66cm{}^{2}}}$