All categories

2 years ago

In a circle of radius 1, what is the length of an arc cut off by a central angle of 2 radians?

Mathematics

1 answer:

slamgirl [31]2 years ago

8 0

Answer:

What is the length of an arc cut off?

If θ (in radians) is a central angle in a circle with radius r, then the length of the arc cut off by θ is given by s = r θ (θ is in radians).

Step-by-step explanation:

Length of an Arc = θ × r, where θ is in radian.

Length of an Arc = θ × (π/180) × r, where θ is in degree.

You might be interested in

PLS HELPP ITS URGENT

WITCHER [35]

Answer:

Step-by-step explanation:

The angles between the parallel sides add up to 180 degrees.

So 180-70 = 110 degrees.

8 0

2 years ago

Read 2 more answers

segment BC is an are of a circle with radius 30.0 cm, and point P is at the center of curvature of the arc Segment DA is an arc

Elan Coil [88]

Answer:

The magnetic field is $B = 3.87 *10^{-6} \ T$

Direction is inward

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that

The radius of BC is $r_{BC} = 30 \ cm = 0.30 \ m$

The radius of DA is $r _{DA} = 20 \ cm = 0.20 \ m$

The length of CD is $r_{CD} = 10 cm = 0.1 \ m$

The length of AB is $r_{AB} = 10 cm = 0.1 \ m$

The current is $I = 11.4A$

The magnetic field is mathematically represented as

$B = B_{BC} + B_{DA} + B_{CD} + B_{AB}$

$B = \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]$

Where

$\theta_{BC} = \theta_{DA} = \frac{2\pi}{3}$

Where $\frac{2 \pi}{3} = 120^o$

$\theta_{CD} = \theta_{AB} = 0^o$

$B = \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]$

$B = 3.87 *10^{-6} \ T$

The direction is into the page

This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

3 0

3 years ago

5x 4 1/2 Answer with a mixed number in simplest form.

nekit [7.7K]

Answer:

22 1/2

Step-by-step explanation:

$5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}$

3 0

3 years ago

Alyana needs to buy a piece of glass to cover the top of a circular table. The table has a diameter of 24 inches. How much glass

Firdavs [7]

Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

6 0

3 years ago

What is the answer 9c-5=13?

riadik2000 [5.3K]

C is 2 because you have to move the 5 so you add 5 to 13 which is 18 then divide both sides by 9 so it's 2

3 0

2 years ago