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Stella [2.4K]
3 years ago
9

Find the area of the circle with the given radius or diameter use pi equals 3.1 4 R is equal to six

Mathematics
2 answers:
marysya [2.9K]3 years ago
3 0
<h2>Hello!</h2>

The answer is:

The area is equal to 113.04 units.

<h2>Why?</h2>

To find the area of the circle, we need to use the given information about the radius (6).

So, the area of a circle is given by the following formula:

A=\pi *r^{2}

Where,

\pi=3.14 (For This Case)\\r=radius

Substituting the given radius, we have:

A=3.14*(6)^{2}=3.14*36=113.04units

Have a nice day!

Gnesinka [82]3 years ago
3 0

<u>Answer:</u>

Area of circle = 113.04 square units

<u>Step-by-step explanation:</u>

We are given the radius of a circle and we are to find its area, using the value of pi as 3.14.

We know that the formula for the area of a circle is given by: \pi r^2. So substituting the given values in the above formula to get:

Area of circle = 3 . 1 4 \times ( 6 ) ^ 2 = 113.04 square units

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Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

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2 years ago
What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12
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