The area of a circular metal plate is 225pi square inches. if the radius of the plate is tripled, what will be its new area?
a. 2025pi in^2
b. 2450pi in^2
c. 3575 in^2
d. 4225 in^2

A. 2025pi in^2

Step-by-step explanation:

If you change a linear dimension by a factor of k, the area changes by a factor of k^2.

The radius changes by a factor of 3. The area changes by a factor of 3^2 which is 9.

9 * 225pi square inches = 2025pi square inches

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

18.8cm hope i at all

step-by-step explanation: