Math, asked by lmboyb617, 2 months ago

in a car le of radius 35cm an arc substent an angle 60 degree at centre what is the length of arc

Answers

Answered by Anonymous

Answer:

$\longrightarrow$ 36.66 cm

Step-by-step explanation:

$\\$

$\huge\mathcal{\green{ Question:-}}$

$\hookrightarrow$ In a circle of radius 35cm, an arc substents an angle 60 degree at centre what is the length of arc.

$\\$

$\bigstar$ $\large\pmb{\mathfrak{To \ Find:-}}$

$\\$

$\underline\mathtt{\red{Let's \ do \ it!!}}$

$\\$

Given sector angle, $\theta$ = 60°

Radius, r = 35 cm.

$\\$

$\hookrightarrow$ Length of arc of a circle is:

$\\$

$= \Huge\frac{2 \pi r \theta}{360°}$

$\\$

Putting the values we have;

$\\$

= $\Large\frac{2 × 22 × 35 × 60}{360}$

$\\$

= $\Large\frac{22 × 5}{3}$

$\\$

= $\Large\frac{110}{3}$

$\\$

= 36.66 cm

Previous Question

Next Question