2 years ago

Find the exact circumference of a circle with the given radius.

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

Answer:

$6.5\pi\ in$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=3\frac{1}{4}\ in$

Convert to an improper fraction

$r=3\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}\ in$

substitute

$C=2\pi(\frac{13}{4})$

$C=\frac{13}{2}\pi=6.5\pi\ in$

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Which value could be the length of the missing side of the triangle? (the side of the triangle has 5, the bottom has a 12 and th

dsp73

Given that this is a right triangle, we can use the Pythagorean Theorem which is expressed as:

a^2 + b^2 = c^2

where c is the hypotenuse and a, b are the other two legs.

c = sqrt ( 5^2 + 12^2 ) = 13

Hope this answers the question. Have a nice day.

4 0

2 years ago

Write the equation is logarithmic form 33 = 27

Vikki [24]

$\bf log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y \\\\
-----------------------------\\\\
33=27\iff 33=3^{\underline{3}}\iff log_3(33)=\underline{3}$