Points B and C lie on a circle with center O and radius r = 5 units. If the length of BC is 10.91 units, what is m∠BOC in radians? Use the value π = 3.1416, and round your answer to three decimal places.

Answers

Answer 1

Answer:
Seems to me that the situation described is impossible.

If the circle's radius is 5, then its diameter is 10. The diameter of the circle
is the farthest apart that two points on the circle can be. So points 'B' and 'C'
can not be 10.91 apart.

==========================

Oh ! But wait. I gues you mean the distance between them along the circle.
(You just said "the length of BC", which usually means the straight-line distance.)

OK.
The piece of the circumference that's 10.91 long is (10.91/5) radiuses long.
So the central angle that encloses it is (10.91/5) = 2.182 radians.

Answer 2

Answer:

Answer:

m∠BOC=2.182 radians

Step-by-step explanation:

It is given that Points B and C lie on a circle with center O and radius r = 5 units, length of BC=10.91 units, then using the formula,

$S=r{\theta}$ where S is the arc length, r is the radius and ${\theta}$ is in radians, thus

on substituting the values of S, r, we get

⇒ $10.91=(5){\theta}$

⇒ ${\theta}=(10.91)/(5)$

⇒ ${\theta}=2.182 radians$

Thus, m∠BOC=2.182 radians

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Answers

Answer:

m-7

Step-by-step explanation:

This is shown because the Difference relates to subtraction. You can then use process of elimination to see the answer will be m-7

How many minutes are in 3 days? Responses 144 min 144 min 192 min 192 min 1728 min 1728 min 4320 min

Answers

The answer is 4320. There are 1440 in one day so times that by three is 4320

Which are equivalent expressions? Check all that are true. 12x + 24y = 12(x + 2y) 12x − 24y = 12(x − 2y) 12x − 24y = 12(x ÷ 2y) 12x ÷ 24y = 12(x ÷ 2y) 12x · 24y = 12(x · 2y)

Answers

Answer:

Step-by-step explanation:

12x + 24y = 12(x + 2y)

12x - 24y = 12(x - 2y)

12x/24y = 12(x/2y)

A sphere has a diameter of 12 ft. what is the volume of the sphere? give the exact value in terms of .

Answers

Formula of volume of a Sphere is : V = 4/3 πr³

Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]

You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]

Hope this helps!

The volume of the sphere is 905.15 square feet.

Given

A sphere has a diameter of 12 feet.

What is the volume of the sphere?

The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a sphere.

The surfacearea of the sphere is the area or region of its outer surface.

The volume of the sphere is calculated by the following formula;

$\rm Volume \ of \ sphere = (4)/(3)\pi r^3$

Where r is the radius of the sphere.

The radius of the sphere is given by;

$\rm Radius = (Diameter)/(2)\n\nRadius = (12)/(2)\n\nRadius = 6 \ feet$

Therefore,

The volume of the sphere is;

$\rm Volume \ of \ sphere = (4)/(3)\pi r^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * (6)^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * 216\n\n\rm Volume \ of \ sphere = 905.15 \ feet^2$