Question
The circle above with center O has a circumference of 36. What is the length of minor arc 
?
- 9
- 12
- 18
- 36
Hint:
The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.
An arc whose measure is less than 180 degrees is called a minor arc. An arc whose measure is greater than 180 degrees is called a major arc. An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two.
The correct answer is: 9
- In the question we have given the circumference of circle with centre O as 36.
- Also the arc AC which subtends the angle of 90at the centre O. So the other angle which is subtended by the arc AC will be (360°- 90°)=270°.
- So, as mentioned above the arc which subtends angle less than 180° is minor arc . So our minor arc is which subtends angle of 90° at the centre.
Θ= 90°
- Length of minor arc =
= 
= 9
Therefore, the length of arc is option (A) 9
Note:- In the given question we have given the circumference, but in some questions we may have given the radius of the circle . So, instead of circumference in the formula we have to use 2πr . Where r is the radius of the circle.
Therefore, the length of arc is option (A) 9
Note:- In the given question we have given the circumference, but in some questions we may have given the radius of the circle . So, instead of circumference in the formula we have to use 2πr . Where r is the radius of the circle.
The diameter of a circle is also known as its measurement of the circle's edge, circumference, or perimeter.
As opposed to this, a circle's area indicates the space it occupies.
The circle circumference is the length when we cut it, open and draw a straight line from it.
Units like centimeters or meters are typically used to measure it.
The circle's radius is considered when applying the formula to determine the circumference of the circle.
Therefore, to calculate a circle's circumference, we must know its radius or diameter.
Therefore, the circumference of a circle formula is the circle perimeter or circumference is 2πR.
where,
R is the circle's radius.
π is a mathematical constant with an estimated value of 3.14 (to the nearest two decimal places).
Related Questions to study
Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.
One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. What was her average speed, in miles per hour, during her drive that morning?
Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.
One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. What was her average speed, in miles per hour, during her drive that morning?
What is the least number which should be subtracted from 0.000456 to make it a
perfect square ?
What is the least number which should be subtracted from 0.000456 to make it a
perfect square ?
What is the least number which should be subtracted from 0.000456 to make it a perfect square ?
What is the least number which should be subtracted from 0.000456 to make it a perfect square ?
Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.
If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by 33% due to slower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m.? (Round your answer to the nearest minute.)
Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.
If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by 33% due to slower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m.? (Round your answer to the nearest minute.)
A Group of students collected as many paise from each member of the group as is the number of members . If the total collection amounts to Rs 59.29 , what is the number of members in the group ?
A Group of students collected as many paise from each member of the group as is the number of members . If the total collection amounts to Rs 59.29 , what is the number of members in the group ?
Evaluate 
Evaluate
Find the cube root of 19.683 ?
Find the cube root of 19.683 ?
What is the smallest number by which 392 must be multiplied , so that the product
is a perfect cube ?
What is the smallest number by which 392 must be multiplied , so that the product
is a perfect cube ?
What is the least number by which 8232 should be divided , so that the quotient is a
perfect cube ?
What is the least number by which 8232 should be divided , so that the quotient is a
perfect cube ?
Find the least number which must be subtracted from 24340 to obtain a perfect
Find the least number which must be subtracted from 24340 to obtain a perfect
In the xy-plane, line passes through the points (0, 1) and (1, 4). Which of the following is an equation of line ?
Note:
The points on a line in the xy-plane always satisfy the equation of the line. Here, notice that both (0, 1) and (1, 4) satisfy the equation y=3x + 1 . So, an alternate way of doing this problem is to check which equation in the options is satisfied by the given points.
In the xy-plane, line passes through the points (0, 1) and (1, 4). Which of the following is an equation of line ?
Note:
The points on a line in the xy-plane always satisfy the equation of the line. Here, notice that both (0, 1) and (1, 4) satisfy the equation y=3x + 1 . So, an alternate way of doing this problem is to check which equation in the options is satisfied by the given points.
