Two circles having same circumference are congruent. State whether the statement is true or false.
Solution:
Given, two circles having same circumference are congruent.
We have to determine if the given statement is true or false.
Circumference of circle = 2𝜋r
Where, r is the radius of the circle.
If two figures have the same shape and the same size, then they are said to be congruent figures.
The circumference of two circles can be the same only if the radii of both the circles are equal.
So, the circles with the same radii will super impose each other completely.
This implies that both circles will overlap each other exactly.
Therefore, the circles with equal circumference are congruent.
✦ Try This: Two circles having same diameter are congruent. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 97
Two circles having same circumference are congruent. State whether the statement is true or false.
Summary:
The given statement,”Two circles having same circumference are congruent” is true.
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