Question

in the figure if angle cod=60, oc=10cm and ob=4cm find the area of the shaded region

Answer 1

Answer: 308/7

Step-by-step explanation:

Answer 2

Answer:  The answer is 44 cm².

Step-by-step explanation:  In the figure, it is given that

∠COD = 60°, OC = 10 cm  and OB = 4 cm.

We are to find the area of the shaded region.

Area of sector AOB is given by

$a=\pi\times 4^2\times \dfrac{60^\circ}{360^\circ}=16\times \dfrac{22}{7}\times \dfrac{1}{6}=\dfrac{176}{21}~\textup{cm}^2.$

And area of the sector COD is given by

$A=\pi\times 10^2\times \dfrac{60^\circ}{360^\circ}=100\times \dfrac{22}{7}\times \dfrac{1}{6}=\dfrac{1100}{21}~\textup{cm}^2.$

Therefore, the area of the shaded region is given by

$A_{shaded}=A-a=\dfrac{1100}{21}-\dfrac{176}{21}=\dfrac{1100-176}{21}=\dfrac{924}{21}=44~\textup{cm}^2.$

Thus, the answer is 44 cm².