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2 years ago

11

The area of the surface of a circular pond is needed. A measure about the pond gives a circumference of about 47 feet. Find the

area.

1 answer:

Whitepunk [10]2 years ago

3 0

Answer:

55.95 ft²

Step-by-step explanation:

Circumference formula: C = 2πr => r = C / (2π)

Area formula: A = πr²

Substituting C / (2π) for r in the above equation, we get:

C 47 ft

A = π( ----------- )² = π ( -------------- )²

2π (2π)

or ...

π(47 ft)² 2209 ft²

A = ---------------------- = -------------------- = 55.95 ft²

4π² 4(3.14159)²

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2 years ago

Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi

Lilit [14]

ANSWER

• Circumference: 18.84 ft

,

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

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In this case, the radius is r = 3 ft and we have to use 3.14 for π,

$C=2\cdot3.14\cdot3ft=18.84ft$

Hence, the circumference of this circle is 18.84 feet.

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9 months ago

What are the solutions to the following system?

bija089 [108]

The solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

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Given equation:

$-2 x^{2}+y=-5$

Add $2 x^{2}$ on both sides.

$-2 x^{2}+y+2 x^{2}=-5+2 x^{2}$

$y=-5+2 x^{2}$ -------- (1)

$y=-3 x^{2}+5$ (given) -------- (2)

Equate (1) and (2).

$-5+2 x^{2}=-3 x^{2}+5$

Add $3 x^{2}$ on both sides.

$-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}$

$-5+5x^{2}=5$

Add 5 on both sides.

$-5+5x^{2}+5=5+5$

$5x^{2}=10$

Divide by 5 on both sides, we get

$x^{2}=2$

Taking square root on both sides, we get

$x=\sqrt{2}, x=-\sqrt{2}$

Substitute $x=\sqrt{2}$ in (1).

$y=-5+2(\sqrt{2})^2$

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Substitute $x=-\sqrt{2}$ in (1).

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$y=-1$

Therefore the solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

Option C is the correct answer.

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3 years ago