Question

If the area of a circle is equal to the sum of the areas of two circles of diameter 20 cm and 34 cm. Calculate the diameter of the larger circle.​

Answer 1

Answer:

i hope it helps you

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIST ANSWER

Answer 2

Answer:

Answer:The diameter of a bigger circle is 26 cm

Among the given options option (b) 26 cm is the correct answer.

Step-by-step explanation:

Given :

Let 'd' be the diameter of a bigger circle.

Area of bigger circle, A = Area of circle having diameter 10 cm + Area of circle having diameter 24 cm

Pi * (d / 2) ^ 2 = Pi * (10/2) ^ 2 + Pi * (24/2) ^ 2

[Area of circle = r² = n(d/2)²]

Pi * (d / 2) ^ 2 = Pi * (5) ^ 2 + Pi * (12) ^ 2

Pi * (d / 2) ^ 2 = Pi[(5) ^ 2 + (12) ^ 2]

(d / 2) ^ 2 = 25 + 144

(d / 2) ^ 2 = 169

(d/2) = √169

(d / 2) = 13

d = 13 * 2

d = 26 cm

Diameter of a bigger circle = 26 cm

Hence, the diameter of a bigger circle is 26 cm

hope it helps you

please mark me as brainliest