Respuesta :

The area of the sector is 0.628(r^2).

According to the statement

we have to find that the area of AOB sector.

So,For this purpose, we know that the

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

And the formula to calculate is :

Area =  Theta/360 *(r^2)Then  

from the information is :

angle AOB=72⁰

then substitute in the values then

Area =  72/360 *(pi)(r^2)

Area =  72/360 *(3.14)(r^2)

Area = 0.628(r^2)

The value of the area of the sector of the circle with the help of the formula is 0.628(r^2).

So, The area of the sector is 0.628(r^2).

Learn more about area of sector here

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