Question

Find the area of the shape.

Answer 1

The area is
`78.54units^2`

The area would be 78.5
`units^2` (pi=3.14)

Explanation:

The formula for the area of a circle is :
`\pi *radius^2`

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.16.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is
`(1)/(4)` of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314.16 by 4, this gives you 78.54. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

`\pi*10^2=314.16^2`

2) Divide 360 by 90.

`360/90=4`

3) Divide 314.16 by 4.

`314.16/4=78.54^2`

Pi=3.14:

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is
`(1)/(4)` of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314. by 4, this gives you 78.5. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

`\pi*10^2=314^2`

2) Divide 360 by 90.

`360/90=4`

3) Divide 314.16 by 4.

`314/4=78.5^2`