Question

A circular shaped gymnasium ring of radius 35cm is divided into 5 equal arcs shaded with different colours. Find the length of each of the arcs.

Answer 1

Given

• Radius = 35cm
• It divided into 5 equal parts

To Find

• length of each of the arcs.

Solution

Circumference of circle = 2πr

Circumference of circle = 2×22/7 × 35

Circumference of circle = 44×5. cm²

• Now it is given that the circular shaped gymnasium ring is divided into 5 equal parts , then

length of each of the arcs = Circumference of circle÷5

length of each of the arcs = 44×5÷5

length of each of the arcs = 44 cm²

Answer 2

Given the radius of the gymnasium ring i.e. $35cm$

To find the length of $5$ equal arcs divided by different colors.

As we know the length of the arc is calculated by the following formula:

Length$=2\pi r*$Θ/$360$      (Where r is radius and Θ is the angle of each arc)

As we know the circle has a $360$ °  angle, so if the gymnasium is divided into 5 equal parts then each arc should be of $360/5=72$.

∴ Θ=$72$°

⇒Length of arc  $=2\pi r*(72/360)$

                          $=2(\frac{22}{7} )35*(\frac{72}{360} )$

                          $=2*22*5*\frac{1}{5}$

                          $=2*22$

                          $=44cm$

                         

∴The length of each arc is $44cm$