find circumference of a circle of diameter 10 cm
Take t= 31.4
find area also
Answers
Explanation :-
Given :-
- Diameter of circle (d) = 10cm
- π = 3.14
To Find :-
- The circumference of circle.
- The area of circle.
Solution :-
Diameter = 10cm
=> Radius = Diameter /2
=> Radius = 10/2
=> Radius(r) = 5cm
As we know that,
The circumference of circle = 2πr
=> Circumference of circle = 2 × 3. 14 × 5
=> Circumference of circle = 6.28 × 5
=> Circumference of circle = 31.4cm.
Now,
Area of circle = πr²
=> Area of circle = 3.14 × (5)²
=> Area of circle = 3.14 × 25
=> Area of circle = 78.5cm² .
★ QUESTION :
Find the circumference of a circle of diameter 10 cm with taking here 't' = 31.4 . Find the area also.
GIVEN :
➠ Diameter = 10 cm
Here, we are already given the value of π as 3.14
➠ π (value of π) = 3.14
TO FIND :
➠ The area of the circle = ?
➠ The circumference of the circle = ?
STEP- BY- STEP EXPLAINATION :
Here, we are given the diameter of the circle = 10 cm
→ Radius of the circle = D / 2
(substituting the values as per the given formula)
→ Radius of the circle = 10 / 2 = 5 cm
Therefore, now we have to find the circumference and area of the circle.
⟹ For finding circumference of the circle :
Formula of circumference:
→ 2πr
(substituting the values)
→ circumference = 2 × 3.14 × 5
→ circumference = 6.28 × 5
→ circumference = 31.4 cm
Hence, the circumference of the circle = 31.4 cm
⟹ For finding area of the circle :
Formula for finding area :
→ πr²
(substituting the values)
→ Area = 3. 14 × (5)²
→ Area = 3.14 × 25
→ Area = 78.5 cm²
Hence, area of the circle is 78.5 cm²