Question

The ratio of circumference and area of a circle is 2:7. what is the
circumference ? (@=pie)
(A) 14@(B)7/@ (C) 7@ (D) 14/@
​

Answer 1

Answer:

GIVEN BY RATIO:-

circumference:area = 2 : 7

\begin{lgathered}area = \pi {r}^{2} \\ circumference \: = 2\pi \: r \\ according \: to \: question \\ \frac{2\pi \: r}{\pi {r}^{2} } = \frac{2}{7} \\ \frac{1}{r} = \frac{1}{7} = r = 7 \\ circumference \: (2\pi {r}^{2} ) \\ 2\pi \times 7 = 14\pi\end{lgathered}

area=πr

2

circumference=2πr

accordingtoquestion

πr

2

2πr

=

7

2

r

1

=

7

1

=r=7

circumference(2πr

2

)

2π×7=14π

hence,your right answer is option (A) 14π