Question

Each day he cleans $\frac{12}{360}$ parts of the ground.
In 12 days, he will clean an area, which measures of the circular ground.

• A. ${100}^{\circ }$
• B. ${112}^{\circ }$
• C. ${144}^{\circ }$
• D. ${168}^{\circ }$

Answer 1

The correct option is C ${144}^{\circ }$

$\text{Each day, Dev cleans}\frac{12}{360}\text{parts}$ $\text{of the circular ground.}$

$\text{We need to calculate the total angle}$ $\text{between the first 12 days.}$

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

$\text{Measure of the angle in one day}$ $\text{=}\frac{12}{360}\text{parts of a circle =}{12}^{\circ }$

$\text{To determine the total angle}$ $\text{between the first 12 days, let's}$ $\text{multiply 12 by 12.}$

$⟹12\times {12}^{\circ }={144}^{\circ }$

$\text{Hence, in 12 days, Dev will clean an area that measures}$ ${144}^{\circ }\text{of the circular ground.}$