Question

In adjoining figure,The radius is 3.5 cm find the perimeter of the quarter of the circle correct to one decimal place

Answer 1

Answer:

12.4 cm

Step-by-step explanation:

Given :The radius is 3.5 cm

To Find : find the perimeter of the quarter of the circle correct to one decimal place

Solution:

Circumference of circle = $2 \pi r$

Circumference of quarter of circle = $\frac{2 \pi r}{4}=\frac{\pi r}{2}$

Substitute r = 3.5

Circumference of quarter of circle = $\frac{\pi 3.5}{2}=5.495$

So, Length of arc of sector is 5.495 cm

So, the perimeter of the quarter  = Length of arc+ 2r

                                                     = $5.495+2 \times 3.5$

                                                     = $12.495 cm$

Hence the perimeter of the quarter of the circle is 12.4 cm