Question

The area of a circle is 616 cm² . Find its diameter. ​

Answer 1

Given

• Area = 616 cm²

To find

• Diameter

Solution

The area of a circle → 616 cm²

Therefore , πr² = 616 cm²

→ 22/7 r² = 616 cm²

→ r² = 616 × 7 / 22

→ r² = 28 × 7

Since , r² = 196

→ r = √ 196

→ r = 14 cm

Therefore , Diameter = 2r = 2 × 14 cm

= 28 cm

More to know :

Circle is a curved shape with 0 number of vertices and edges !!

➺ Area : π × ( radius )²

➺ Circumference : 2π x radius

➺ Diameter : 2 x radius

➺ Number of vertices : 0

➺ Number of edges : 0

Answer 2

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Explanation:

Given :

Area of a circle :616cm^2

To find :

Diameter

$\bold{\boxed{Area \: of \: a \: Circle = \pi {r}^{2} }}$

$= > \pi {r}^{2} = 616$

$\frac{22}{7} {r}^{2} = 616$

$= > {r}^{2} = 616 \times \frac{7}{22}$

$= > {r}^{2} = 308 \times \frac{7}{11} = 28 \times 7$

$= > {r}^{2} = 196$

$= > r = \sqrt{196} = 14cm$

Radius of a circle is 14cm

We know that diameter is twice of radius or radius is half of diameter.

$\bold{\boxed{\boxed{D= 2r = 2 \times 14 cm= 28cm}}}$

Additional information:

1. Two circle are congruent if they have same radii
2. The distance of circle from the center to the diameter is 0
3. There can be drawn infinite number of arc and radius on a circle.
4. Two tangent are parallel if are drawn with end point of diameter.see 2nd image figure PQ|| RS