Find the perimeter and area of this shape

Area: 38.48u²   Perimeter: 24.995u

Step-by-step explanation:

This is a quarter of a circle. You can use the formula to find the area of a full circle and then divide it by 4 to find the area of a quarter circle.

The radius is 7. So..

A = πr²/4 = π × 7²/4

= π × 49/4

= 12.25π

≈ 38.48u²

You have to find the circumference of the full circle in order to find the perimeter of this shape. The circumference is πd.

To find the diameter of a circle you multiply the radius by 2.

7 × 2 = 14

P = π14

≈ 43.98

Then, you divide that number by 4 because the arc (the curved part) is a quarter of the circumference.

43. 98 ÷ 4 = 10.995 - This is the length of the arc.

Now you add all the measurements:

7 + 7 + 10.995 = 24.995u

I hope this helps! :)

24+x=y

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).