Question

iv) Radius of a sector of a circle is 5cm & length of
it's arc is 2.8 cm. Find the area of the sector.​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Radius of the sector of the circle is 5 cm}$

$\textsf{and length of the arc is 2.8cm}$

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

$\textsf{Area of the sector}$

$\underline{\textsf{Solution:}}$

$\textsf{Using the formula}$

$\boxed{\textsf{Area of the sector}\mathsf{=\dfrac{lr}{2}}}$

$\implies\textsf{Area of the sector}\mathsf{=\dfrac{2.8{\times}5}{2}}$

$\implies\textsf{Area of the sector}\mathsf{=\dfrac{14}{2}}$

$\implies\boxed{\textsf{Area of the sector}\mathsf{=7}\,\textsf{square cm}}$

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