If the areas of two circles are the same, they are congruent. State whether the statement is true or false.
Solution:
Given, if the areas of two circles are the same, they are congruent.
We have to determine if the given statement is true or false.
Area of circle = 𝜋r²
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 area 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 areas are congruent.
✦ Try This: If the radii of two circles are the same, they 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 95
If the areas of two circles are the same, they are congruent. State whether the statement is true or false.
Summary:
The given statement,”If the areas of two circles are the same, they are congruent” is true.
☛ Related Questions:
- Two squares having the same perimeter are congruent. State whether the statement is true or false
- Two circles having same circumference are congruent. State whether the statement is true or false
- If three angles of two triangles are equal, triangles are congruent. State whether the statement is . . . .
visual curriculum