What is the radius of a circle if it's area is 36π?

Mathematics

1 answer:

alexira [117]3 years ago

5 0

Area= pi x r^2
hence,

pi x r^2 = 36 x pi

=> r^2=36
=>r= root over 36 = 6

in short...the radius is 6

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Please helpp geometry (click for picture)

NeTakaya

Answer:

20 degrees

Step-by-step explanation:

Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:

7x-8=5x

Subtract 5x from both sides:

2x-8=0

Add 8 to both sides:

2x=8

Divide both sides by 2:

x=4

Now, you can plug this back into the equation for angle B:

B=7(4)-8

B=28-8

B=20

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These two scalene triangles are similar with a scale of 4:5. What is true about these figures?

disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be $\frac{4}{5}$ not $\frac{5}{4}$ as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be $\frac{c}{f} = 1$ . Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be $\frac{ED}{AB} = \frac{5}{4}$ . Hence option A is correct answer.