Find the circumference and the area of a circle with diameter 2 yd . use the value for 3.14 for , and do not round your answers. be sure to include the correct units in your answers.

The circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

Step-by-step explanation:

Circumference: This is defined as the distance around a circle.

The circumference of a circle is

P = πd Equation 1

Where p = circumference of the circle, d = diameter of the circle

Area: This is the region bounded by a plane surface.

The area of a circle is

A = πd²/4 Equation 2

Where A = area of the circle, π = pie = constant.

Given: d = 2 yd.

Constant: π = 3.14

Substituting these values into equation 1 and 2 respectively.

P = 3.14(2)

P = 6.28 yard.

P = 6.28 yd

and

A = 3.14(2)²/4

A = 3.14×4/4

A = 3.14 yd²

Thus the circumference and the area of the circle are 6.28 yards and 3.14 yd² respectively.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.