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3 years ago

How to find radius when given the volume of a figure?

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

You find the radius by diameter / 1/2

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The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

5 0

2 years ago

The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students

alina1380 [7]

Answer:

≈ 634

Step-by-step explanation:

n = 847(1 * .07)^4

n = 847(0.93)^4

n = 633.60005247

n ≈ 634

3 0

3 years ago

Kaltlin bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount.

MrRissso [65]

Answer:

I might have bought about 9 books

4 0

3 years ago

Read 2 more answers

The Smiths own a home whose market value is $105,000. Their municipality taxes at 85% and the rate is 70 mills or $70 per thousa

barxatty [35]

Answer: 6247.5

Step-by-step explanation:

85% x 105000 = 89250

70 x 89.25 = 6247.5

7 0

3 years ago

Read 2 more answers

Choose the equation below that represents the line passing through the point -3,-1 with the slope of four

tresset_1 [31]

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

$y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)$

5 0

2 years ago