Acircle has a circumference of 32.4 mm. find the radius and the diameter. round your answers to two decimal places.

r=5.15

d=10.31

Step-by-step explanation:

Given:

circumference of circle=32.4 mm

radius=?

diameter=?

formula of circumference of circle is given as:

C=2πr

Putting value we get

32.4=2πr

r=32.4/2π

r=5.15

d=2r

d=2(5.15)

d=10.31 !

For this case we have that by definition, the circumference of a circle is given by:

Where:

d: It is the diameter of the circle

We have as data that:

Taking

We have:

The radius is given by:

the answer is b.

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places