Question

the area of the circle is 156cm2 .Find the area of the sector of the circle with central angle 60°​

Answer 1

Answer:

26

Step-by-step explanation:

area of sector=area of circle × central angle/360

156*1/6

26

Answer 2

The area of the sector of the circle with central angle 60°​ is 26 cm².

Step-by-step explanation:

Given data

• Area of circle = 156 cm²

       Angle subtend at centre of circle by sector = 60°

• We know angle subtend by circumference of circle on centre of circle is 360°.

• Area of complete circle is bounded by circumference.

• This question can be solved by unitary method.

         ∵360° angle by arc have area = 156 cm²

         ∴ 1°   angle by arc have area     $\mathbf{=\frac{156}{360^{\circ}}}$

         ∴ 60° angle by arc have area $\mathbf{=\frac{60^{\circ}\times 156}{360^{\circ}}}$

• On solving, we get

         60° angle by arc have area $\mathbf{=\frac{ 156}{6}=26 \ cm^{2}}$