Question

the area of a circle is equal to the sum of the areas of two circles of radii of two circles are 24 cm and 7 cm find the diameter of the bigger circle​

Answer 1

Answer:

50 cm

Step-by-step explanation:

let the radius of the bigger circle be R

area of the bigger circle = πR^2

area of circle with radius 24 cm and 7 cm

$\pi {r}^{2} = \pi {(r1)}^{2} + \pi {(r2)}^{2} \\ \\ \pi {r}^{2} = \pi( {r1}^{2} + {r2}^{2} ) \\ {r}^{2} = {r1}^{2} + {r2}^{2} \\ {r}^{2} = {24}^{2} + {7}^{2} \\ {r}^{2} = 576 + 49 \\ {r}^{2} = 625 \\ r = \sqrt{625} \\ r = 25$

the radius of the bigger circle is 25 cm

diameter = 2 × radius

= 2 × 25

= 50 cm

hope you get your answer

Answer 2

Answer: it is 50 cm

Step-by-step explanation: given in the attachment