Question

the area of a disc is 616 sq. cm., its perimeter is —​

Answer 1

Given:-

• Area of a Disc = 616 cm²

To Find:-

• Perimeter of Disc.

Solution:-

WKT

Every Disc is in the shape of a Circle.

$\boxed{\sf{\star\;Area\;of\;Circle = πr²}}$

Where r is the Radius of Circle.

$→\;\Large{\sf{\frac{22}{7}×r² = 616}}$

$→\;\Large{\sf{r² = 616×\frac{7}{22}}}$

$→\;\Large{\sf{r = \sqrt{196}}}$

$→\;\Large{\sf{r = \sqrt{14²}}}$

$→\;{\Large{\mathfrak{r = 14cm}}}$

.:. Radius of Circle = 14cm

$\boxed{\sf{\star\; Circumference\;of\;Circle = 2πr}}$

$→\;\Large{\sf{2×\frac{22}{7}×14}}$

$→\;\Large{\sf{\frac{44}{7}×14}}$

$→\;\Large{\sf{44×2}}$

$→\;\huge{\red{\sf{88cm}}}$

The area of a disc is 616cm² then its perimeter is 88cm.

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