Math, asked by calbereira683, 2 months ago

Find the circumference & area of a circle whose
diameter is 56cm.

Answers

Answered by ImperialGladiator
4

Answer:

  • Area = 2,464cm²
  • Circumference = 176cm

Step-by-step explanation:

Given diameter :

56cm.

Here, the diameter is given we need to find it's circumstance & area.

Step 1 : Calculate the radius

We know that,

Any radius is ½ of its diameter

So, it's radius will be ½ of 56cm.

Or,

→ 28cm.

Step 2 : Find the circumstance

Circumstance of a circle is given by :

→ 2πr

Where,

  • ‘r’ is radius
  • Taking π as 22/7

→ 2 × 22/7 × 28

→ 2 × 22 × 4

→ 176cm.

The circumference is 176cm.

Step 3 : Find the area

Area of a circle is given by :

→ πr²

→ 22/7 × (28)²

→ 22/7 × 28 × 28

→ 22 × 4 × 28

→ 2,464cm²

Area of the circle is 2,464cm²

Answered by SilverShades67
17

\huge\boxed{\fcolorbox{red}{pink}{❥Question }}

Find the circumference & area of a circle whose

diameter is 56cm

\huge\boxed{\fcolorbox{red}{pink}{❥Solution  }}

We know that ,

Area of circle =πr² and

r = radius of circle.

Now,

Diameter of circle =56 cm [given]

So, radius of circle=D/2=56/2

Radius of circle=28

Now,

Area of circle=πr²

Area of circle=22/7 ×(28)² [π=22/7]

Area of circle=22×4×28

Area of circle=2464cm²

Hence, Area of circle is 2464cm²

And then

Circumference of circle = 2πr

=2×22/7×28

= 176 cm

So Area of circle will be 2464 and circumference will be 176

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