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3 years ago

How do you find the radius of a circle with a circumference of 12pi

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The circumference of a circle is $2\pir$ $\pi r$ , so $12\pi=2\pi r\\12=2r\\r=6$ . We can use this because the area of a circle is $\pi r^2$ . Thus, $\pi*6^2=36\pi$ .

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shtirl [24]

Answer:

5.4

Step-by-step explanation:

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3 years ago

A quadrilateral has 4 right angles, 2 pairs of sides of equal length,2 pairs of opposite sides that are parallel. The pairs of o

tekilochka [14]

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3 years ago

6) The sum of three consecutive numbers is seventy-eight.

tia_tia [17]

Answer:

Step-by-step explanation:

In my opinion the three consecutive numbers should be 25 26 and 27

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3 years ago

Read 2 more answers

State the gradient of the line 2y = 3 - 2x.

lyudmila [28]

Answer:

Step-by-step explanation:

2y = 3 -2x

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8 0

2 years ago

The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

2 years ago