Question

The radius of the large circle is equal to the diameter of the small circle. If the area of the small circle is ${13m}^2$, what is the area of the shaded region ?

• A. ${55m}^2$
• B. ${48m}^2$
• C. ${39m}^2$
• D. ${26m}^2$

Answer 1

Answer: (C)

${39m}^2$

$Radiusofsmallcircle=rRadiusofthelargecircle=2rAreaofsmallcircle=\pi r^2=13sqmAreaoflargercircle=\pi r^2=\pi (2{r)}^2=4\pi r^2=4(13)=52sqmAreaofshadedregios=Areaoflargercircle-Areaofsmallcircle=52-13=39sqm$