The total circumference of the circle is (2 pi R) = 30 pi.
The central angle of 90° is 90/360 = 1/4 of the circle.
The minor arc = 30 pi/4 = 23.562 (rounded)
It's 0.524 of the length of the radius.
5.23
The answer depends on the information that you have. If the arc subtends an angle of x radians in a circle with radius r cm, then the arc length is r*x cm.
If the radius of the circle is r units and the angle subtended by the arc at the centre is x radians, then the length of the arc is r*x units. If you are still working with angles measured in degrees, then the answer is r*pi*y/180 where the angle is y degrees. If r and x (or y) are not available, or cannot be deduced, then you cannot find the length of the arc.
Not necessarily. Only if the minor arc is less than 1/4 of the circle. If the minor arc is more than 1/4 of the circle, then the central angle is obtuse.
It's 0.524 of the length of the radius.
5.23
The answer depends on the information that you have. If the arc subtends an angle of x radians in a circle with radius r cm, then the arc length is r*x cm.
If the radius of the circle is r units and the angle subtended by the arc at the centre is x radians, then the length of the arc is r*x units. If you are still working with angles measured in degrees, then the answer is r*pi*y/180 where the angle is y degrees. If r and x (or y) are not available, or cannot be deduced, then you cannot find the length of the arc.
You can draw exactly four of the those right-angled sectors in a circle. The definition of a sector is quoted as "the portion of a circle bounded by two radii and the included arc". The circumference of a circle = 2*pi*radius. The arc of each sector will be 0.5*pi*radius.
I'm assuming that "c" is short for "circumference". The length of an arc is (circumference)*(360/angle). So the length of an arc in a circle with circumference length of 18.84 is 6782.4/angle, where the angle is measured in degrees.
Not necessarily. Only if the minor arc is less than 1/4 of the circle. If the minor arc is more than 1/4 of the circle, then the central angle is obtuse.
No, because there is no acute angle in a circle.
Another answer:- Total area of circle: 360/190 times 662.89/1 = 1256 rounded to the nearest integer Radius of the circle = square root of 1256/pi = 20 rounded to the nearest integer
All you've told us is that 40 cm is less than 1/2 of the circumference. With that information, all we know is that the circumference is more than 80 cm. We could calculate it if we knew what the angle is at the center of circle between the two radii (radiuses) that go to the ends of arc AB. We're guessing that it's there in your book, but you forgot to include it when you decided to ask us to do your homework problem for you.
-- The major arc = 230 degrees-- The minor arc ... the arc between the tangents ... is (360 - 230) = 130 degrees.-- The line from the vertex of the angle to the center of the circle bisects the arc,so the angle between that line and the radius to each tangent is 65 degrees.-- The radius to each tangent is perpendicular to the tangent. So the radius, the tangent,and the line from the vertex to the center of the circle is a right triangle.-- In the right triangle, there's 90 degrees where the radius meets the tangent, and65 degrees at the center of the circle. That leaves 25 degrees for the angle at thevertex.-- With another 25 degrees for the right triangle formed by the other tangent,the total angle formed by the two tangents is 50 degrees.
A sector is the area of a circle defined by an angle from the center and the arc of the circle. This area equals angle theta / 360 x pi x radius squared. example: r=2 inches, theta = 60 degrees then: 60/360 x 3.141592 x 2*2 = 1/6 x 3.141592 x 4 = 2.0944 sq. in. I'm assuming by minor segment you mean the one defined by an angle less than 180 degrees. and that the remainder is the greater segment?