Acircle has a radius of 9 inches. the radius is multiplied by 2/3 to form a second circle. how is the ratio of the areas related to the ratio of the radii?

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.

Step-by-step explanation:

Radius of first circle = 9 inches

Area of first circle =

Area of first circle = 9 × 9 × π = 81 π

Now, since the radius is multiplied by 2/3 for from a new circle.

∴ Radius of the second circle =

Area of second circle =  

Area of second circle = 6 × 6 × π = 36 π

Now,

∵ = 9 inches and = 6 inches

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e.,

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.