Answer:
P = 53.6 square cm
Explanation:
We know that the measure of an arc of a sector is given by:
![P=\theta r+2r](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yr2o5g4ie287zxov2l1r9ossjd6orw777c.png)
Where
is the angle of the arc of the sector (radian) while
is the radius of the circle.
Here,
90°
.
Substituing the given values to get:
![P=(\pi)/(2)(15)+2* 15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zoff4mamxa7jcd3148f597in297fzssves.png)
P = 53.6 square cm