What is the area of the sector shown in the picture

The area of the sector shown is 4.75 pi

Step-by-step explanation:

First we have to know what fraction of the total circle that part represents

for that we divide 45 by 360

45/360 = 1/8

now we calculate the area of the circle and divide it by 8

a = ( π * 6² ) / 8

a = ( π * 36 ) / 8

a = π * 4.75

a = 4.75 pi

a - base

b - exponent

so,