Question

A circle has a radius of 5 inches. What is the area of the sector formed by a central angle measuring 1.5 radians?

Answer 1

We know that

[area of a circle]=pi*r²
r=5 in
[area of a circle]=pi*5²---------> 78.5 in²

if 2pi radians ( full circle) has an area of-------------------> 78.5 in²
1.5 radians------------------------------------------> X
X=1.5*78.5/2pi---------> 18.75 in²

the answer is
the area of the sector formed by a central angle is 18.75 in²