Question

Find the circumference of a circle whose area is 64cmsquare

Answer 1

Answer:

16\pi16π

Step-by-step explanation:

\begin{gathered}area \: of \: circle \: = \: \pi {r }^{2} \\ = > 64\pi \: \: = \: \pi {r}^{2} \\ = > \: \: r \: \: \: = \: \: \sqrt{64} \\ = > r = 8 \\ now \\ circumference \:of \: circle = 2\pi \: r \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times \pi \times 8 \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16\pi \end{gathered}

areaofcircle=πr

2

=>64π=πr

2

=>r=

64

=>r=8

now

circumferenceofcircle=2πr

=>=2×π×8

=>=16π