Math, asked by sirinaiduy6962, 5 hours ago

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

Answers

Answered by dragankuz
0

Answer:

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

= 1760pi / 2 = 280.1126998 cm

Step-by-step explanation:

Answered by NewGeneEinstein
6

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.

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