A circle with a radius of 1/2ft is dilated by a scale factor of 8. Which statements about the new circle are true? Check all thatapply.The length of the new radius will be 4 feet.The length of the new radius will be 32 feet.The new circumference will be 8 times the original circumferenceThe new circumference will be 64 times the original circumferenceThe new area will be 8 times the original area.The new area will be 64 times the original area.The new circumference will be 8x feetThe new area will be 16 square feet
Accepted Solution
A:
Answer:The length of the new radius will be 4 feetPROOF: (1/2)(8)=4 ft.Answer:The new circumference will be 8 times the original circumferencePROOF:(1) Original=pi*(1/2)=1/2pi ft.(2) New One.=pi(4)=4pi ft.So, 4pi/(1/2)pi=8.Answer:The new area will be 64 times the original areaPROOF: 8^2=64.Answer:The new area will be 16Ο square feetPROOF:r=4fta=pi(4)^2a=16pi ft^2..Hope This Helps <3