CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If the sum of the circumferences of two circles with radii $$R_1$$ and $$ R_2$$ is equal to the circumference of a circle of radius $$R$$, then


A
R1+R2=R
loader
B
R1+R2>R
loader
C
R1+R2<R
loader
D
Nothing definite can be said about the relation among R1,R2 and R.
loader

Solution

The correct option is A $$R_{1}+R_{2}=R$$
The  circumference of circle with radius $${ R }_{ 1 }=2\pi { R }_{ 1 }$$.
and the circumference of circle with radius$$ { R }_{ 2 }=2\pi { R }_{ 2 }.$$ 
$$\therefore$$ The Sum of Circumferences, $$Sum=2\pi \left( { R }_{ 1 }+{ R }_{ 2 } \right)$$ .
Again the circumference of circle with radius $${ R }=2\pi { R }.$$
$$ \therefore$$ By given condition,
$$ 2\pi \left( { R }_{ 1 }+{ R }_{ 2 } \right) =2\pi { R }\Longrightarrow { R }_{ 1 }+{ R }_{ 2 }=R$$.

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image