Question

5.
Find the area of the shape. Use 3.14 for pi

Show work please I’m confused

Answer 1

From the right angle on the centre of the circle, we can tell that it is a quarter of a circle.

The area of a circle is (Pi)*r^2 where r is the radius of the circle. From the image we can see the radius is 10, therefore the area of a whole circle with a radius of 10 is (Pi)*10^2=314.

As the shape in the image is a quarter of that circle we divide the area we just calculated by 4 which gives us 78.5 units^2. That new number should now be the area of the shape shown in the image.

Answer 2

Answer: the area is 78.5

Step-by-step explanation:

The given shape is a sector which is also a quarter circle. It means that the central angle formed is 360/4 = 90 degrees. We would find the area by applying the formula for determining the area of a sector which is expressed as

Length of arc = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 10

θ = 90 degrees

Area = 90/360 × 3.14 × 10²

Area = 78.5