Question

The measure of $\frac{1}{10}$ part of the given circle is

• A. ${55}^{\circ }$
• B. ${36}^{\circ }$
• C. ${72}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is B ${36}^{\circ }$

$\text{Measure of the angle in one complete}$ $\text{circle =}{360}^{\circ }$

$\text{We have to convert}\frac{1}{10}\text{part of the}$ $\text{circle into degrees.}$

$\text{Let's multiply the fraction}\frac{1}{10}\text{by}$ $\text{36 to make an equivalent fraction}$ $\text{with the denominator as 360.}$

$⟹$ $\frac{1\times 36}{10\times 36}=$ $\frac{36}{360}$

$\text{So,}\frac{1}{10}\text{part of a circle measures}$ $\text{as}{36}^{\circ }\text{.}$