1) If a circle sector has a radius of 5 cm and a central angle of 3 radians, then the arc length of the sector is 15 cm. True or False?2) If a circle sector has a radius of 6 cm and a central angle of 240 degrees, then the arc length of the sector is 8(pi) cm. True or False?
Answers
The answer is true. use arc length=(central angle/2π)2πr.
What is the length of the arc?
The distance along a portion of the circumference of any circle or curve is best characterized as arc length (arc).
We know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred per cent of the circle).
If we are only dealing with part of the circle (sector), you find what per cent of the complete circle the sector is by dividing the central angle by 2π. In this case, we have 3 radians out of 2π radians,
Therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector.
In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.
To know more about the length of the arc follow
#SPJ2
we know that the circumference of a circle is equal to 2πr. That means when we have 2π radians out of 2π radians (one hundred percent of the circle). If we are only dealing with part of the circle (sector), you find what percent of the complete circle the sector is by dividing the central angle by 2π. In this case we have 3 radians out of 2π radians, therefore we only have 47.75% of the circle. Because we only have a certain percentage of the circle, you multiply 2πr by the percent to get the arc length given by the sector. In this case 0.4775x2xπx5 which equals 15.001 which is rounded down to 15 cm. Therefore the answer is true.
Related Questions
A number that is placed before the variable is called the constant. a) true b) false
Simplify the expression.(-8.6) ^00-8.61-1
Rent-A-Tent rents party tents for a flat fee of $365 plus $125 a day. Capital Rentals rents party tents for a flat fee of $250 plus $175 a day. Delia wrote the following equation to find the number of days for which the total cost charge for the two companies would be the same:365x+125=250x+175
Express the area A of a rectangle as a function of the length x if the length of the rectangle is twice its width.
Answers
Answer: 5.2
Step-by-step explanation:
Answers
Answer:
x=9
Step-by-step explanation:
The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.
First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.
Answers
Answer:
73
Step-by-step explanation:
Answers
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.
Answers
Answer:
A
Step-by-step explanation:
In this question, we are concerned with selecting which of the options best represents the difference of two squares.
Let’s have an exposition below as follows;
Consider two numbers, which are perfect squares and can be expressed as a square of their square roots;
a^2 and b^2
where a and b represents the square roots of the numbers respectively.
Inserting a difference between the two, we have;
a^2 - b^2
Now by applying the difference of two squares, these numbers will become;
a^2 - b^2 = (a + b)(a-b)
So our answer out of the options will be that option that could be expressed as above.
The correct answer to this is option A
Kindly note that;
x^2 -9 can be expressed as x^2 - 3^2 and consequently, this can be written as;
(x-3)(x + 3)
{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}