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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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Q: How do you cut a circle into equal sections of small central angle to find the area of circle?
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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.

Related questions

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 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.


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


Does a central anglehave to equal 90 degrees?

a central angle does NOT have to equal 90 degrees


What happens when a straight angle is bisected?

The sections that they are divided into become equal.


What is the measure of the angle by the straight sides of the circle divided into 5 equal parts?

A circle has no straight sides but if you mean a circle that has been divided into 5 equal sectors then the angle of each sector is 72 degrees subtended by each arc of the circle.


A circle has 6 equal sectionsFred shaded 3 of the sections what is an equivalent way to write the fraction of the sections that are shaded?

1/2