If r=28cm then diameter=? And find circumference?
Answers
Answer:
The diameter of the circle is 56cm and the circumference of the circle is 176cm.
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Step - By - Step Instructions:
Given:
Radius of the circle = 28cm
To Find:
The diameter of the circle and the circumference of the circle.
Solution:
Concept:
• Circumference - Is the distance around a circle or any curved geometrical shape. (refer to the attachment)
• The diameter is the distance across a circle through the centre, and it touches the two points of the circle perimeter. (refer to the attachment)
• Radius - A line segment extending from the center of a circle or sphere to the circumference or bounding surface. Hence, the radius is half of the diameter. It starts from a point on the circle, and ends at the center of the circle. (refer to the attachment)
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So,
Let the Radius be 'R' and Diameter be 'D'. Then,
D = (R × 2) units.
⠀= (28 × 2) cm.
⠀= 56cm.
Now, Formula used to find the circumference of the circle:
✰ Circumference = 2πR
where,
• R is the radius of the circle
• π is the mathematical constant with value of 22/7.
Now, substituting the given values:
:⟹ Circumference = (2 × 22/7 × 28)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= (2 × 22 × 4)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 176
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Given:
- Radius = 28cm.
To find:
- Diameter & radius ?
Solution:
• The shape is circle.
Where,
- Radius = 28cm.
• Let's consider radius be r.
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Finding diameter of the circle,
→ Diameter = r × 2
→ 28 × 2
→ 56cm
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Let's Find circumference of the circle,
→ Circumference = 2πr
→ 2 × 22/7 × 28
→ 2 × 22 × 4
→ 2 × 88
→ 176cm
∴ Hence, Diameter of the circle is 56cm & circumference of the circle is 176cm.