Question

Find the area of the sector cut off by the arc If radius is 12cm and length of arc is 10.5cm

Answer 1

Answer:

197.92cm²

Step-by-step explanation:

explanation is in pic

Answer 2

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

• Radius of circle (r) = 12cm

• Lenght of arc (l) = 10.5

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

• Area of sector (A) = ?

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

$\large{\boxed{\sf Length\:of\:arc=2πr×\frac{\theta}{360} }}$

$\large\implies{\sf 10.5=2×\frac{22}{7}×12×\frac{\theta}{360}}$

$\large\implies{\sf \frac{\theta}{360}=\frac{10.5×7}{2×22×12}}$

$\large\implies{\sf \frac{\theta}{360}=0.139}$

Now ,

$\large{\boxed{\sf Area\:of\: Sector (A)=πr^2×\frac{\theta}{360} }}$

$\large\implies{\sf A=\frac{22}{7}×(12)^2×0.139 }$

$\large\implies{\sf A=\frac{440.352}{7} }$

$\large\implies{\sf A=63.9cm^2 }$

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

•°•Area of the sector cut off by the arc is 63.9cm²