Question

Find the circumference and area of each of the following circles, given:

Diameter =56 cm​

Answer 1

given that:

diameter =56 cm

so radius =56/2cm

=28cm

area of a circle =πr^2

area = 22/7×28×28

=2464cm^2

circumference of a circle = 2πr

circumference = 2×22/7×28

=176cm

Answer 2

$\Large{\underbrace{\sf{\red{Required\:Solution:}}}}$

Given thαt,

• Diαmeter of α circle = 56cm.

◾️We hαve to find the circumference αnd αreα of the circle.

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To do so,

Firstly we need to find the rαdius..

$\large\star{\boxed{\sf{\red{ Radius = \dfrac{Diameter}{2}}}}}$

• Substitute the vαlues αnd simplify.

$\implies{\sf{ \dfrac{56cm}{2} = 28cm}}$

$\large\star{\boxed{\sf{\red{ Circumference_{(circle)}= 2\pi r}}}}$

• Substitute the vαlues αnd simplify.

$\longrightarrow{\sf{ 2\times \dfrac{22}{7} \times 28cm}}$

• Cαncel out 28 αnd 7.

$\longrightarrow{\sf{ 2\times \dfrac{22}{\cancel{7}} \times \cancel{28}}}$

$\longrightarrow{\sf{ 2\times 22\times 4}}$

$\large\implies{\boxed{\sf{\red{ 176cm}}}}$

Therefore, the circumference of the circle is 176cm.

Now,

$\large\star{\boxed{\sf{\red{ Area_{(circle)} = \pi r^{2}}}}}$

• Substitute the vαlues αnd simplify.

:$\implies{\sf{ \dfrac{22}{7} \times (28)^{2}}}$

:$\implies{\sf{ \dfrac{22}{\cancel{7}} \times \cancel{28} \times 28}}$

:$\implies{\sf{ 22\times 4\times 28}}$

:$\large\implies{\boxed{\sf{\red{ 2,464^{2}}}}}$

Hence, the αreα of the circle is 2,464 cm².

And we αre done! ✔

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