The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a

Mathematics

1 answer:

Lilit [14]2 years ago

6 0

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

Formulae

Circumference of a circle = 2 $\pi$ r
Area of a circle = $\pi$ r²

(where r is the radius of the circle)

Find the radius

circumference = 96 m

Using the circumference of a circle formula:

⇒ 2 $\pi$ r = 96

⇒ $\pi$ r = 96 ÷ 2 = 48

⇒ r = 48 ÷ $\pi$ = 48/ $\pi$

Find the area

radius r = 48/ $\pi$

Using the area of a circle formula:

⇒ A = $\pi$ r²

⇒ A = $\pi$ (48/ $\pi$ )²

⇒ A = 2304/ $\pi$

⇒ A = 733.3859778...

⇒ A = 733 m² (to the nearest meter)

You might be interested in

Each picture shows a figure and its reflection. Which picture shows the line of reflection?

nikitadnepr [17]

Answer:

Bottom left

Step-by-step explanation:

The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

3 0

2 years ago

Find the surface area of the composite figure.

ELEN [110]

Answer:

$644cm^2$

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to $2\times(30+100+120)-72=428 cm^2$ .

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's $2\times(24+48)+72=216cm^2$ .