Question

If in a circle, measure of major arc is four times the measure of minor arc, then measure of major arc is

• A. 288${}^o$
• B. 224${}^o$
• C. 128${}^o$
• D. 72${}^o$

Answer 1

The correct option is A 288${}^o$

Let minor arc = x${}^o$
$\Rightarrow$ major arc = (360 -x)${}^o$
Given : major arc = 4 $\times$ minor arc
$\therefore (360-x{)}^o=4x^o$
$\Rightarrow 5x^o={360}^o$
$\Rightarrow x=\frac{360}{5}={72}^o$