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2 years ago

The perimeter of a square is the same as the circumference of a circle whose area is 61.6 cm^2. Find the area of the square.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

3 0

Answer:

Step-by-step explanation:

first, 4l=2 x π x radius............................ eqn 1

next, find the value for the radius, r using

Area of a circle=πx radius squared

61.6=3.142 x r x r

61.6÷3.142=r x r

r x r= 19.6

r=4.43

then substitute the value of r in eqn 1

4l=2 x 3.142 x 4.43

4L=27.83812

L= 27.83812÷4

L≈6.96

area of a square = L x L

=6.96 x 6.96= 48.43

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General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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1 year ago

The perimeter of a square is the same as the circumference of a circle whose area is 61.6 cm^2. Find the area of the square.​

The perimeter of a square is the same as the circumference of a circle whose area is 61.6 cm^2. Find the area of the square.