Answer the following Questions:
1. Differentiate between a segment and a sector
2. Name the line which intersects the circle at two distinct points
3. When a segment of the circle become semicircle?
4. How many parts a circle have in a plane?
5. What will be perimeter of the semi-circle if the radius of the circle is of a meter,
Answers
Answer:
There are two main "slices" of a circle: The "pizza" slice is called a Sector. And the Segment, which is cut from the circle by a "chord" (a line between two points on the circle).
a straight line that intersects at two points is called secant
1.
. A segment and a sector are parts of a circle.
. A segment and a sector are parts of a circle.A segment is bound by a part of the circumference of the circle and a chord.
. A segment and a sector are parts of a circle.A segment is bound by a part of the circumference of the circle and a chord.There is a major segment and a minor segment.
. A segment and a sector are parts of a circle.A segment is bound by a part of the circumference of the circle and a chord.There is a major segment and a minor segment.The angle in the major segment will be acute, the angle in the semicircle - 90 degrees and the angle in the minor segment will be obtuse.
. A segment and a sector are parts of a circle.A segment is bound by a part of the circumference of the circle and a chord.There is a major segment and a minor segment.The angle in the major segment will be acute, the angle in the semicircle - 90 degrees and the angle in the minor segment will be obtuse.If the chord is twice as long as the radius, the two segments become equal and are termed semicircles.
A sector is bound by a part of the circumference of the circle and 2 radii .
A sector is bound by a part of the circumference of the circle and 2 radii .The sector has an angle between the two radii which may be in degrees or in radians.
A sector is bound by a part of the circumference of the circle and 2 radii .The sector has an angle between the two radii which may be in degrees or in radians.If the angle between the two radii is 180 or pi radians, the two sectors become identical semicircles.
A sector is bound by a part of the circumference of the circle and 2 radii .The sector has an angle between the two radii which may be in degrees or in radians.If the angle between the two radii is 180 or pi radians, the two sectors become identical semicircles.Join the two ends of the radii in a sector and you get an isosceles triangle and a minor segment. Suppose the angle of the sector is Ɵ, then the angle formed by the ends of the two radii and any point on the arc within the sector will be (180 - Ɵ/2).
A sector is bound by a part of the circumference of the circle and 2 radii .The sector has an angle between the two radii which may be in degrees or in radians.If the angle between the two radii is 180 or pi radians, the two sectors become identical semicircles.Join the two ends of the radii in a sector and you get an isosceles triangle and a minor segment. Suppose the angle of the sector is Ɵ, then the angle formed by the ends of the two radii and any point on the arc within the sector will be (180 - Ɵ/2).2. secant line
A sector is bound by a part of the circumference of the circle and 2 radii .The sector has an angle between the two radii which may be in degrees or in radians.If the angle between the two radii is 180 or pi radians, the two sectors become identical semicircles.Join the two ends of the radii in a sector and you get an isosceles triangle and a minor segment. Suppose the angle of the sector is Ɵ, then the angle formed by the ends of the two radii and any point on the arc within the sector will be (180 - Ɵ/2).2. secant lineA line intersecting in two points is called a secant line, in one point a tangent line and in no points an exterior line. A chord of a circle is the line segment that joins two distinct points of the circle. A chord is therefore contained in a unique secant line and each secant line determines a unique chord.
3.An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. Every pair of endpoints on a circle either defines one minor arc and one major arc, or two semicircles. Only when the endpoints are endpoints of a diameter is the circle divided into semicircles
4. three parts
three partsA circle divides the plane into three parts: The points INSIDE the circle. The points OUTSIDE the circle.
5. What is the perimeter of semicircle?
What is the perimeter of semicircle?The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
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