# math

posted by .

1. A wire of length x is bent into the shape of a square. Express the area A as a function of x only.

2. A circle of radius x is inscribed in a square. Find the area inside the square but outside the circle as a function of x only.

• math -

1. the wire would have to be cut into 4 equal parts, making each side of the square x/4 units long
so Area = (x/4)^2 = x^2 /16

2. In this one, isn't the side of the square equal to 2x (the diameter of the circle) ?
You should be able to take it from here.

• math -

So the area would be 4x^2 ?
and the area of a circle is pi * x^2

So would the area be (4-pi) x^2?

• math -

yes

## Similar Questions

1. ### Calculus

A piece of wire 40cm long is cut into two pieces. One piece is bent into the shape of a square and the other is bent into the shape of a circle. How should the wire be cut so that the total area enclosed is a) a maximum?
2. ### Math

You have a wire that is 35 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the …
3. ### Calc

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be …
4. ### MINIMIZATION PROBLEM (CALC)

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be …
5. ### MINIMIZATION PROBLEM (CALC)

A wire 9 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be …
6. ### Pre Cal

a piece of wire 5 inches long is to be cut into two pieces. One piece is x inches long and is to be bent into the shape of a square. the other piece is to be bent into the shape of a circle. Find an expression for the total area made …
7. ### Mathematics

(in this question they did not give me any diagrams) use pie 22/7 (a) a piece of wire is bent to form a square of area 121cm squared Calculate the length of each side of the square. Calculate the perimeter of the square. (b) the same …
8. ### Differential Calculus

Hi pls help me i dunno what to do show me complete solution please please Thank you. a piece of wire 10ft. long is cut into two pieces , one piece is bent into the shape of a circle and the other into the shape of a square. How should …
9. ### Math

A piece of wire is bent to form a square of area 121cm. Calculate: a)the length of each side of the square. b)the perimeter of the square. The piece of wire is now bent to form a circle using π=3.14 Calculate: a)the radius of …
10. ### maths

ria took a wire of length 44cm and bend it into a shape of circle find the radius of that circle also find its area if the same wire is bent into the shaape of square what will be the length of each of its side which figure enclose …

More Similar Questions