Answer:
P = 53.6 square cm
Step-by-step explanation:
We know that the measure of an arc of a sector is given by: [tex]P=\theta r+2r[/tex]
Where [tex]\theta[/tex] is the angle of the arc of the sector (radian) while [tex]r[/tex] is the radius of the circle.
Here, [tex]\theta =[/tex] 90°[tex]=\frac{\pi }{2}[/tex].
Substituing the given values to get:
[tex]P=\frac{\pi}{2}(15)+2\times 15[/tex]
P = 53.6 square cm
