What is the greatest number of regions can 7 lines divide a circle into?

The answer is 22. I’m assuming you mean straight lines. If there are no lines crossing a circle, the number of regions is of course 1.

How many pieces can a circle be divided into using 3 straight lines?

Three lines divide the circle into seven unequal parts.

How many regions N lines divide planes?

One line can divide a plane into two regions, two non-parallel lines can divide a plane into 4 regions and three non-parallel lines can divide into 7 regions, and so on.

What is a region of a circle?

CIRCULAR REGION The part of the circle that consists of the circle and its interior is called the circular region.

What are the 8 parts of a circle?

The following figures show the different parts of a circle: tangent, chord, radius, diameter, minor arc, major arc, minor segment, major segment, minor sector, major sector.

Can a chord contain 3 points of a circle?

If we pick any two distinct points on a circle, and connect them with a chord, the chord will divide the interior of the circle into two distinct, nonintersecting regions. If we pick three distinct points on a circle and connect each pair of them with a chord, we can form four distinct, nonintersecting regions.

What is region of a circle?

Specifically, a circle is a simple closed curve that divides the plane into two regions: an interior and an exterior.

How many parts can a circle be divided into?

Using six lines, we can cut the circle into 22 pieces at maximum. Using one line, the circle can be divided into two parts. Two lines divide the circle into four parts. Three lines divide the circle into seven unequal parts. Four lines cut the circle into eleven parts. Using five lines, circle can be divided into sixteen parts.

How do you divide a circle into 8 regions?

So here a circle can be divided into 8 regions by drawing a straight line A & 2 curves B & C. 🙂 The question never specifies the lines have to be straight. You can divide a circle into as many parts as you want with 2 curved lines. But perhaps you want straight lines. In this case, you’re out of luck

How many unequal parts does a circle have with 6 lines?

Three lines divide the circle into seven unequal parts. Four lines cut the circle into eleven parts. Using five lines, circle can be divided into sixteen parts. Finally, using six lines the maximum parts that can be formed are 22.

What divides the circle into two equal segments?

The chord divides the circle into two segments. The region enclosed by a chord and the major arc is called the major segment and the region enclosed by the minor arc and the chord is called a minor segment. Semicircle: The diameter divides the circle into two equal segments.