Question

Two circles are of diameters 8 cm each. Are these congruent ? Give reasons.​

Answer 1

Yes they are congruent

Reason :-

Two circles are congruent if they have the same size. The size can be measured as the radius, diameter or circumference. And here diameter of these two circles were same.

Hope it helps you ☺️❤️

Answer 2

Two circles are congruent if they have equal radius.

We know that diameter = 2 x radius.

Equal radii means equal diameters.

Hence, two circles are also congruent if they have equal diameters.

Step-by-step explanation:

Let the radius of the required circle be r cm.

Area of required circle = area of circle of radius 8 cm + area of circle of radius 6 cm

⇒πr²=π(8cm)²+π(6cm)²

⇒r²=64cm²+36 cm²

⇒r²=100cm²

⇒r=10cm

Thus, the diameter of the required circle is 2x10 cm = 20 cm.