if the area of a circle is 616 CM square find its circumference
Answers
Answer:
circumference of the circle = 88cm
Step-by-step explanation:
Answer:
Circle :
Let us know some information about circle and it's parts :
↝ A circle is defined as the locus of a point which moves in a plane such its distance from a fixed point in that plane is always constant.
Parts of Circle :
- Arc - It is basically the connected curve of a circle.
- Sector - A region bounded by two radii and an arc.
- Segment - A region bounded by a chord and an arc lying between the chord’s endpoints. It is to be noted that segments do not contain the centre.
- Centre - It is the midpoint of a circle.
- Chord- A line segment whose endpoints lie on the circle.
- Diameter- A line segment having both the endpoints on the circle and is the largest chord of the circle.
- Radius - A line segment connecting the centre of a circle to any point on the circle itself.
- Secant - A straight line cutting the circle at two points. It is also called an extended chord.
- Tangent - A coplanar straight line touching the circle at a single point.
Diagram :
Rough diagram of circle :
Given :
- ➠ Area of circle = 212 cm².
To Find :
- ➠ Circumference of circle
Solving Process :
↝ To solve this question firstly let's find the radius of circle by using formula, we have to put the values.
↝ Then we have to find the circumference of circle by using formula, just have to put the values.
Using Formulas :
Where :-
- ➠ A = Area
- ➠ π = 22/7
- ➠ r = radius
- ➠ C = circumference
Solution :
Finding the radius of circle by substituting the values in the formula :-
∴ The radius of circle is 14 cm.
Now, finding the circumference of circle by substituting the values in the formula :-
∴ The circumference of circle is 88 cm.
Diagram :
Diagram of circle with radius :