Question

I don’t know why I have to write the picture has the problem but please help.

Answer 1

Answer and Step-by-step explanation:

1. Find the side lengths of a square with an area of
`(169)/(225) cm^(2)`.

What we know:

- The area of the square.

- The formula for the area of a square. Side times (multiply by) Side, which is also Side Squared
`({S}^2)`.

Set the area equal to
`({S}^2)`.

`{S}^2 = (169)/(225)`

Take the square root of both sides of the equation to get S (Side).

`\sqrt{{S}^2} = \sqrt{ (169)/(225)} \\\\S = (√(169) )/(√(225) ) \\\\S = (13)/(15)cm`<-- This is your answer.

2. Find the radius (distance from a point on the circle to the center of the circle) of a circle using the area 121
`\pi yd^2`

What we know:

- The area of a circle.

- The formula for the area of a circle.
`\pi r^2`

Set the area equal to
`\pi r^2`.

`\pi r^2 = 121\pi`

Divide pi
`(\pi )` from both sides of the equation.

`r^2 = 121`

Take the square root of both sides of the equation.

`√(r^2) = √(121) \\\\r = 11`<-- This is your answer.

3. Find the area of the circular flower garden.

What we know:

- Area of the plot of land: 144

What we can find:

- The side length of a square.

- The radius of a circle.

- The area of a circle.

First, find the side length of the square.

`S^2 = 144\\\\`

Take the square root of both sides of the equation.

`√(S^2) = √(144) \\\\S = 12`

In this case, the side length of a square will also be the diameter of a circle.

To find the radius, divide the diameter by 2.

`(12)/(2) = 6 = r`

Finally, plug this value into the area of a circle formula and solve.

`\pi r^2\\\\\(3.14) (6)^2\\\\36(3.14) = 113.04cm^2` <- This is your answer.

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I hope this helps!