Explain it clearly and easy to understand. Show step-by-step. (In this in case, π=3.1416) Round the answer to the nearest tenth. There are two circles. The diameter of the first is 12 in. and the area of the second is 214 times the area of the first. What is the diameter of the second circle?

Question

Explain it clearly and easy to understand. Show step-by-step. (In this in case, π=3.1416) Round the answer to the nearest tenth.  There are two circles. The diameter of the first is 12 in. and the area of the second is 214 times the area of the first. What is the diameter of the second circle?

Nathanael Webber · Accepted Answer

Step 1 Let d and A1 be the diameter and area of first circle and D and A2 be diameter and area of second circle. Then , according to given condition, d=12 and A2=214A1 A2=94A1 We know that area of circle is πr2 , that is πdr22 Step 2 Therefore, A2=94A1 π(D2)2=94π(d2)2 D2=94d2 D=32d D=32(12)=24 in. Step 3 Answer: Diameter of second circle is 24 in.

Explain it clearly and easy to understand. Show step-by-step. (In this

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