Question

Arc length of a sector a circle of radius 7cm is 14cm. The area of the sector is _______cm².​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Arc length of a sector a circle of radius 7cm is 14cm}$

$\underline{\textbf{To find:}}$

$\textsf{Area of the sector}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Concept used:}}$

$\boxed{\mathsf{Area\;of\;sector=\dfrac{Arc\,length{\times}Radius}{2}}}$

$\mathsf{Area\;of\;sector=\dfrac{Arc\,length{\times}Radius}{2}}$

$\mathsf{Area\;of\;sector=\dfrac{14{\times}7}{2}}$

$\mathsf{Area\;of\;sector=7{\times}7}$

$\implies\boxed{\mathsf{Area\;of\;sector=49\;cm^2}}$