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How do you cut a circle into equal sections of small central angle to find the area of circle?
Like cutting up a round cake (each piece starting at the centre) into very thin pieces. Each piece looks very like a thin triangle. Now arrange them next to each other alternately with points up and points down. For very thin pieces it looks almost exactly a rectangle, with the short side equalling the radius, and the 2 long sides totalling the original circumference. So the length of the rectangle is half the circumference. So the area must be RxC/2. Now pi is defined by "circumference of a circle = pi x diameter" so use that in the above area formula to get area = R x pi x diameter/2. But diameter/2 is radius. So the area is pi x R x R = pi x R2.
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How do Cutting a circle into equal sections of a small central angle to find the area of a circle?
From Gyanesh Anand Cut it into different sectors of small central angle.then find the area of each sector and add them up to find that area of circle is equal to 2*pi*r
Find the number of radians in the central angle that subtends an arc of 6 m on a circle of diameter 5 m?
A central angle of 1 radian is the angle that subtends an arc equal in length to the radius. If diameter = 5 m, then radius = 2.5 m. 2.5 m --> 1 radian 6 m is subtended by (6 / 2.5) = 2.4 radians.
A scone from a bakery is cut into 6 equal slices. What is the measure of the central angle of each slice?
60
The area of the sector formed by the 110 degree central angle is 50 units squared What is the circumference of the circle?
For A+ 7.22The area of a sector of a circle is proportional to the angle at the center of the sector, with 360 degrees corresponding to the full circle. Therefore, the area of the total circle for which the problem is stated is 50 X 360/110 = about 163.6 square units. The area of a circle is also equal to pi multiplied by the square of the radius of the circle, so that the radius r of this circle equals the square root of 163.6/pi = about 7.217 units. The circumference of the circle is also twice the radius multiplied by pi = 45 units, to the justified number of significant digits (limited by "50").a+ 45.33
A circle has an area of 24 m What is the area of a 45 sector of this circle?
Divide the angle sector by 360 and multiply it by 24 square meters. The area is equal to 3 square meters.
If a circle is divided into 5 sections by 5 radii and each of the central angles formed are of equal measure what is the measure of each central angle?
72 degrees 72 degrees
How do Cutting a circle into equal sections of a small central angle to find the area of a circle?
From Gyanesh Anand Cut it into different sectors of small central angle.then find the area of each sector and add them up to find that area of circle is equal to 2*pi*r
What is a central angle and what is the relationship of the central angle and the intercepted arc?
In a circle, a central angle is formed by two radii. By definition, the measure of the intercepted arc is equal to the central angle.
What is the arc formed where a Central angle in a circle intersects the circle itself?
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.
What is the name of a central angle?
A central angle is an angle whose vertex is at the center of a circle and whose sides (or rays) extend to the circumference, effectively subtending an arc on the circle. The measure of a central angle is equal to the measure of the arc it subtends. For example, if the central angle measures 60 degrees, the arc it subtends will also measure 60 degrees.
What does the central angle split the circle into?
A central angle splits a circle into two distinct arcs: a major arc and a minor arc. The minor arc is the smaller arc that lies between the two points on the circle defined by the angle, while the major arc is the larger arc that encompasses the rest of the circle. The measure of the central angle is equal to the measure of the minor arc it subtends.
What is the central angle of a circle with a diameter of 20 inches and divided into 20 congruent sectors?
1
What is central angle of a circular arc equal to twofifth the circumference of the circle?
2/5 of 360 = 144 degrees
How do you devide a circle into 7 equal parts?
A circular sector is formed by two radii and an arc. And the angle formed due to the two radii is central angle(Θ). Area of a sector = (Θ/360) πr2.If we divide a circle into seven sectors having equal central angles then the circle is divided into seven equal parts.Angle of the whole circle is 360o. So we should divide the whole angle into 7 equal parts each measuring 360o/7 and then forming the corresponding sectors.
How are inscribed angles different from central angles?
Inscribed angles and central angles differ in their definitions and the way they relate to a circle. A central angle is formed by two radii extending from the center of the circle to the circumference, while an inscribed angle is formed by two chords that meet at a point on the circle itself. The measure of a central angle is equal to the arc it subtends, whereas an inscribed angle measures half of the arc it intercepts. This fundamental difference affects their geometric properties and applications in circle-related problems.
If a circle was divided into 6 equal parts what would be the degree measure of the central angle?
It is 60 degrees
What is the measure of the central angle of each sector if you divide a circle into five equal sectors?
360 degrees / 5 pieces = 72 degrees
