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4 years ago

Will a circle always have a greater area than a square if the circumfrance and perimeter are the same

1 answer:

6 0

The answer is yes. here is how:
circumference of a circle is 2pi*r
perimeter of a square is 4a, a being the length of each side.
when 2pi*r=4a, r=(2a)/pi
area of the circle is pi*r^2=pi(2a/pi)^2=(4/pi)*a^2
area of the square is a^2
Because 4/pi is bigger than 1, (4/pi)*a^2 is always larger than a^2

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3 years ago

Solve for x. Show all your work

olasank [31]

42°

Step-by-step explanation:

$\angle BAE =180\degree -132\degree$

(Angles in linear pair)

$\angle BAE =48\degree$

$\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})$

$\angle ABE = 180\degree-(48\degree+90\degree)$

(Angle sum postulate of a triangle)

$\implies\angle ABE = 180\degree-138\degree$

$\implies\angle ABE = 42\degree$

$\angle CDE =\angle ABE = 42\degree$

(corresponding angles)

$\implies x\degree=\angle CDE$

(vertical angles)

$\implies x\degree=42\degree$

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2 years ago

Which three lengths CANNOT be the lengths of the sides of a triangle

kogti [31]

Answer:

I believe 21 cm

Step-by-step explanation:

4 0

3 years ago

Find the given angle to the nearest degree.

Darina [25.2K]

Answer:

$\alpha=44\°$

Step-by-step explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

$tan(\alpha) = \frac{opposite}{adjacent}$

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

$tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96$

Finally

$\alpha =arctan(0.96)\\\\\alpha=44\°$

7 0

3 years ago

Read 2 more answers

The formula for the circumference C of a circle with radius r is C = 2πr. Which of the following is a formula for π (pi) of the

sweet [91]

<span>the answer: the main condition can be found one of the following given methods: if A = B*C*D, if we want to find the value of B, so B = A /C*D, the similar method can be applied to find the value of C an D. These are C= A/ B*D and D = A /C*B in our case we have C = 2*Pi* R, if we want to find the value of Pi, it is Pi = C / 2*R the true answer is D</span>

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4 years ago

Read 2 more answers