Which answer is right?

D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Properties of operations help a lot in solving problems related to integers and rational numbers.

Step-by-step explanation:

There are four properties of operations in math. These properties are applicable in case of addition and multipication but not in case of division and subtraction.

These properties are used to solve problems involving rational numbers as well as integers.These properties are associative,commutative, distributive and identity.

commutative property is A+B=B+A

                                  ⇒5+4=4+5

and                                A*B=B*A

                                  ⇒5*4=4*5

associative property ( 32+14)+7= 32+(14+7)

                                   ( 8*9)*7= 8*(9*7)

Identity property is 35+0= 35

                                    1*58=58

distributive property is 15*21

                                   ⇒  15*(20+1)

                                   ⇒15*20+15*1

                                    15*21

                                  ⇒ 15*(22-1)

                                  ⇒15*22-15*1