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Alecsey [184]
3 years ago
5

A circle has a diameter of 10 feet. What is the area of the circle? Leave answers in terms of π.

Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

25π feet^2

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=πr^2

We are given the diameter, but we need to find the radius. The radius is half of the diameter, or

r=d/2

We know the diameter is 10 feet. Therefore, we can substitute 10 in for d.

r=10/2

Divide 10 by 2

r=5

The radius is 5 feet.

Now we know the radius, and can substitute it into the area formula.

a=πr^2

r=5

a=π*5^2

Evaluate the exponent.

5^2 is equal to 5*5, which is 25.

a=π*25

a=25π

Add appropriate units. Area always uses units^2, and the units in this problem are feet.

a=25π feet^2

The area of the circle is 25π square feet

Bumek [7]3 years ago
7 0

Answer:

25pi

Step-by-step explanation:

If the circle has a diameter of 10, it has an radius of 5. The area of a circle is pi*r^2. If r=5, then it is 25pi.

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With the help of trigonometric function, the above problems have been calculated. See explanation below.

<h3>What are Trigonometric functions?</h3>

The term "trigonometric function" refers to functions that are periodic in nature and that shed light on how a right-angled triangle's angles and sides relate to one another.

The solutions to x in the respective problems is given as follows:

1) x = 5 /Sin(30°)

x = 10

!) Sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°)

= (3√3) / x

x = (3√3) / 3

W) In trigonometry, every right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse will always equal 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3

= 4√3 / 3

S) Sin(60°) = x / (10/3)

x = (5√3) / 3

Learn more about Trigonometric functions at:

brainly.com/question/14421002

#SPJ1

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