Question

An arc of a circle having measure 36° has lenght 176 cm. Find the radius of circle

Answer 1

Answer:

Radius = 1/2[(176 * 10) / pi]

= 1760pi / 2 = 280.1126998 cm

Step-by-step explanation:

Answer 2

Given:-

• Measure of Arc=$\theta$=36°
• Length of arc=L=176cm

To find:-

• Radius of the circle=r

Solution:-

We know that

$\boxed{\sf L=\dfrac{\theta}{360}\times 2\pi r}$

$\\ \sf\longmapsto 176=\dfrac{36}{360}\times 2πr$

$\\ \sf\longmapsto 176=\dfrac{1}{10}\times 2πr$

$\\ \sf\longmapsto 176=\dfrac{1}{5}πr$

$\\ \sf\longmapsto r=\dfrac{176}{5π}$

$\\ \sf\longmapsto r=\dfrac{176\times 7}{5\times 22}$

$\\ \sf\longmapsto r=\dfrac{1232}{110}$

$\\ \sf\longmapsto r=11.2cm$

Radius of the circle is 11.2cm.