Question

A circular table has a diameter of 20 metres. A circular tablecloth hangs over the table with 4 metres of the cloth hanging around the table. What is the area of the tablecloth? *​

Answer 1

Diameter of table = 20m

radius= 20m/2

=10m

cloth hanging from the=4m

Radius of the cloth=10m+4m=14m

Area of the cloth = πr^2

=22/7×14×14m^2

=616m^2

Answer 2

CIRCLE

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Solve:

Calculating the radius of the table.

$\sf \implies \large radius = \frac{diameter}{2}$

$\sf \implies \large radius = \frac{20m}{2}$

$\sf \implies \large \therefore \: radius = 10m$

$\:$

Calculating the radius of the table cloth.

$\sf \implies \large radius = 10m + 4m$

$\sf \implies \large \therefore \: radius = 14m$

$\:$

Calculating the area of of the table cloth.

$\sf \implies \large A_ \circ=π {r}^{2}$

$\sf \implies \large A_ \circ=3.14{(14m)}^{2}$

$\sf \implies \large A_ \circ=3.14({196m}^{2} )$

$\sf \implies \large \therefore \: A_ \circ={615.44m}^{2}$

$\:$

Final Answer:

$\sf \LARGE \orange{The \: Area \: is \: 615.44 {m}^{2} }$

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