Question

the diagram shows a sector of a circle with radius 15 cm. calculate the perimeter of this sector

Answer 1

Answer:

l don't know this is right or wrong

Hope it is help for you

Answer 2

Note: The angle of the sector is $\[90^\circ .\]$

Given,

The radius of the sector of the circle$\[ = 15{\rm{cm}}\]$

To find,

The perimeter of the sector.

Solution,

Know that the formula to calculate the perimeter of the sector is $\[2r\left( {1 + \frac{{\theta \pi }}{{180}}} \right).\]$

Apply values.

Therefore,

$\[\begin{array}{l} \Rightarrow 2 \times 15\left[ {1 + \frac{{90\pi }}{{180}}} \right]{\rm{cm}}\\ \Rightarrow 30\left[ {1 + \frac{\pi }{2}} \right]{\rm{cm}}\\ \Rightarrow 30\left[ {1 + 1.57} \right]{\rm{cm}}\end{array}\]$

Solve further,

$\[\begin{array}{l} \Rightarrow 30 \times 2.57{\rm{cm}}\\ \Rightarrow 77.1{\rm{cm}}\end{array}\]$

Hence, the perimeter of the sector is $\[77.1\]$cm.