Question

solve it with step by explanation​

Answer 1

Given:-

$\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Diameter\: of\: the\: circle\: is\: 14 cm}$

$\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Then,\: radius\: will\: be\: 7 cm}$

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To find:-

$\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Circumference\: of\: the\: circle}$

$\: \: \: \: \: \: \: \: \bullet\bf\: \: \: {Area\: of\: the\: circle}$

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Solution:-

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Finding\: circumference}}}$

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${\dag}\:{\underline{\boxed{\sf{\purple{Circumference_{(Circle)} = 2 \pi r}}}}}$

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$\tt:\implies{Circumference = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7}}$

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$\tt:\implies{Circumference = 2 \times 22}$

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$\tt:\implies{Circumference = 44}$

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Therefore,

$\: \: \: \: \: \: \: \: \star\bf\: \: \: {Circumference = 44cm}$

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Finding\: area}}}$

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${\dag}\:{\underline{\boxed{\sf{\purple{Area_{(Circle)} = \pi r^2}}}}}$

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$\tt:\implies{Area = \dfrac{22}{7} \times (7)^2}$

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$\tt:\implies{Area = \dfrac{22}{\cancel{7}} \times \cancel{49}}$

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$\tt:\implies{Area = 22 \times 7}$

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$\tt:\implies{Area = 154}$

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Therefore,

$\: \: \: \: \: \: \: \: \star\bf\: \: \: {Area = 154cm^2}$

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Hence,

$\sf{Circumference\: of\: the\: circle\: is\: 44cm}$

$\sf{Area\: of\: the\: circle\: is\: 154cm^2}$

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Answer 2

We know Area of circle = πr^2

Where r is the radius of the circle.

Radius = 1/2 of Diameter

Radius of circle = 1/2 × 14= 14/2 = 7 units

Area of the circle = 22/7 × 7 × 7

Area of the circle = 22 × 7

Area of the circle = 154 sq units

Circumference = 44cm