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.
the measure of a minor arc equals the measure of the central angle that intercepts it.
Sometimes~ Minor arcs have central angles less than 180 degrees because 180 is a semi-circle and above 180 is a major arc. An acute angle is less than 90 degrees, so this is only true sometimes.
-- 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 minor arc measures less than 180 degrees...
The major and minor axes of a circle are the same - either is any diameter. So a semimajor axis is half the diameter which is 12 cm.
The arc formed where a central angle intersects the circle is called a "major arc" or "minor arc," depending on the size of the angle. The minor arc is the shorter path between the two points where the angle intersects the circle, while the major arc is the longer path. The measure of the arc in degrees is equal to the measure of the central angle that subtends it.
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.
the measure of a minor arc equals the measure of the central angle that intercepts it.
CONGRUENT
Oh, dude, it's like a piece of cake! So, a minor arc is like a slice of pizza, right? And the central angle is like the angle at the center of the pizza. If the minor arc is 155 degrees, then the central angle is also 155 degrees. Easy peasy, lemon squeezy!
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 degrees.
If the measure of minor arc AC is 96 degrees, then the measure of angle ABC, which is inscribed in the circle and subtends arc AC, can be found using the inscribed angle theorem. This theorem states that the measure of an inscribed angle is half the measure of the arc it subtends. Therefore, the measure of angle ABC is 96 degrees / 2 = 48 degrees.
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)
Sometimes~ Minor arcs have central angles less than 180 degrees because 180 is a semi-circle and above 180 is a major arc. An acute angle is less than 90 degrees, so this is only true sometimes.
To find the measure of each minor arc in a regular decagon inscribed in a circle, we first need to calculate the central angle of the decagon. Since a regular decagon has 10 sides, each interior angle is 144 degrees (180 * (10-2) / 10). The central angle of the decagon is twice the interior angle, so it is 288 degrees. Therefore, each minor arc in the regular decagon inscribed in the circle would measure 288 degrees.
100 degrees
No, because there is no acute angle in a circle.