1)Circle 1 is centered at (−4, 5)(−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1)(2, 1) and has a radius of 6 centimeters.

What transformations can be applied to Circle 1 to prove that the circles are similar?

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The circles are similar because you can translate Circle 1 using the transformation rule (, ) and then dilate it using a scale factor of .

2)The sector of a circle with a 12-inch radius has a central angle measure of 60°.

What is the exact area of the sector in terms of π ?

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ThreefoldPath
May 31, 2018

#1**+2 **

1. Not sure about these types of questions:

Translate circle one 6 to the right and down 4 and scale it by a factor of 3 ??

2. Area of the ENTIRE circle (360 degrees) is pi r^2 (r=12)

you want the area of 60 out of 360 degrees....this faction is 60/360

So: (60/360) x pi x 12^2 = 24 pi in^2

ElectricPavlov
May 31, 2018