Acircle with a radius of 1/2 ft is dilated by a scale factor of 8. which statements about the new circle are true? check all that apply.
a. the length of the new radius will be 4 feet.
b. the length of the new radius will be 32 feet.
c. the new circumference will be 8 times the original circumference.
d. the new circumference will be 64 times the original circumference.
e. the new area will be 8 times the original area.
f. the new area will be 64 times the original area.
g. the new circumference will 8pi be
h. the new area will be 16pi square feet.

The statements A,C,F,G and H are true.

Step-by-step explanation:

It is given that the radius of circle before dilation is and the scale factor is 8.

The circumference of original circle is,

The area of original circle is,

The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle.

Therefore the radius of new circle is 4 ft and the statement A is true.

The circumference of original circle is,

The new circumference will be 8 times the original circumference. The statement C is true.

The area of original circle is,

The new area will be 64 times the original area. Therefore statement F is true.

The new circumference will ,The new area will be   square feet.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.