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3 years ago

Point B is a point of tangency. Find the radius r of OC.

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = $\frac{576}{36}$

r = 16 units

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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T

elixir [45]

Answer:

$\text{Exact area of the sidewalk}=40 \pi\text{ m}^2$

$\text{Approximate area of the sidewalk}=125.6\text{ m}^2$

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

$\text{Area of circle}=\pi r^2$ , where r represents radius of the circle.

$\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2$

$\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2$

$\text{Exact area of the sidewalk}=40 \pi\text{ m}^2$

Therefore, the exact area of the side walk is $40 \pi\text{ m}^2$

To find the approximate area of side walk let us substitute pi equals 3.14.

$\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2$

$\text{Approximate area of the sidewalk}=125.6\text{ m}^2$

Therefore, the approximate area of the side walk is $125.6\text{ m}^2$ .

5 0

3 years ago

What is the difference between 8753 and 967?<br>

evablogger [386]

Answer:

7786

Step-by-step explanation:

8753-967

=7786

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3 years ago

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babymother [125]

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B=$26.04/12gal=$2.17 per gal

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3 years ago

You deposit $6000 in an account earning 2% interest compounded monthly. How much will you have in your account in 15 years?

Dmitrij [34]

Well 2% of 6000 is 120. Then u take 120 times 12 (the amount of months in 1 year) than u take the answer (1440) and mulitply it by 15 (the amount of years) and get <span>21600.

Hope this helps! :3
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4 years ago

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seropon [69]

It is A, 60° because 180° (degree of the whole triangle) divided by the three angles is 60.

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3 years ago

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