Question

Find the area and perimeter of a circle whose
(i) radius = 14 cm

Answer in book is 308m² and 72m​

Answer 1

Answer:

If pie is taken as 22/7 then:-

Area of circle with radius 14 cm is 616 cm^2.

Perimeter of circle with radius 14 cm is 88 cm.

If pie is taken as 3.14 then:-

Area of circle with radius 14 cm is 615.44 cm^2.

Perimeter of circle with radius 14 cm is 87.92 cm.

Answer 2

✒️GIVEN☃️

• Radius of the Circle$\circ$ = 14cm

✒️TO FIND☃️

• Area of circle = ?
• Perimeter of circle = ?

✒️SOLUTION☃️

here,

we know that,

Area of the Circle = π r²

where,

• Radius = 14cm
• value of π = $\bold{\frac{22}{7}}$

substituting these values in area of circle we got

$\bold{ Area \: of \: the \: Circle = \pi r²} \\ \bold{ \implies \frac{22}{7} \times {(14)}^{2} } \\ \bold{\implies \frac{22}{ \cancel7} \times \cancel{ 196} } \\ \bold{ \implies 22 \times 28} \\ \bold{ \implies616 {cm}^{2} }$

Hence, area of the Circle = 616 cm²

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now,

we know that,

Perimeter of the Circle = 2 × π × r

where,

• Radius = 14cm
• Radius = 14cmvalue of π = $\bold{\frac{22}{7}}$

substituting these values in perimeter of circle we got

$\bold{ Perimeter \: of \: the \: Circle = 2 \times \pi \times r} \\ \bold{ \implies 2 \times \frac{22}{7} \times 14} \\ \bold{\implies2 \times \frac{22}{ \cancel7} \times \cancel{ 14} } \\ \bold{ \implies 2 \times 22 \times 2} \\ \bold{ \implies88 cm }$

Hence, Perimeter of the Circle = 88 cm

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