Circle whose area or circumference equals the sum of two circles'

This type of question, asked 2 times: 24 Sep 2024 S2, 25 Sep 2024 S2. All 2 questions below, oldest first.

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Question 1
24 Sep 2024 S2
60 $The radii of two circles are 8 cm and 15 cm.The perimeter of the circle having area equal to the sum of the areas of the two circles (in cm) is:$
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Question 2
25 Sep 2024 S2
65 $Find the diameter (in cm) of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 12 cm and 16 cm.$
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