13) If the length of a chord passing through the centre of a circle is 10cm. What's the radius of
the circle?
Answers
Answer:
radius is 5 cm since diameter is 10 cm
Given:
✰ The length of a chord passing through the centre of a circle = 10 cm
To find:
✠ What is the radius of the circle?
Solution:
Let's understand the concept!
A circle is the locus of a moving point, in a plane which is at a constant distance from a fixed point in that plane.
Diameter:
A chord of a circle passing through it's centre is called a diameter of the circle.
- Length of diameter = 2 × radius
Radius:
The fixed point is called the centre and the constant distance is called the radius of the circle.
- Radius = Diameter/2
So, the length of a chord passing through the centre of a circle i.e, diameter = 10cm
We can easily calculate the radius of a circle by using formula.
✭ Radius = Diameter/2 ✭
Putting the values in the formula, we have:
➤ The radius of the circle = 10/2
➤ The radius of the circle = 5 cm
∴ The radius of the circle = 5 cm
What if we need to find circumference of a circle also?
Let's find out...♪
✭ Circumference of a circle = 2πr ✭
➤ Circumference of a circle = 2 × 22/7 × 5
➤ Circumference of a circle = 44/7 × 5
➤ Circumference of a circle = 220/7
➤ Circumference of a circle = 31.428
∴ The circumference of a circle ≈ 31.43
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