Respuesta :

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

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