Question

"the figure at the right is a circle with center R. Name the following
1. Chord
2. diameter
3. radius
4. Central angle
5. Inscribed angle
​

Answer 1

Answer:

1. AC
2. FKD
3. KB and KF
4. BKF
5. DFE

Step-by-step explanation:

1. Chord- a line segment joining two points on the circle. AC is a chord
2. Diameter- a chord that connects two points on the circle and passes through the center of the circle. Every diameter is a chord. FKD is a diameter
3. Radius- a line segment from the center of the circle to any point on the circle. the radius of a circle is one-half the diameter. KB and KF is a radius
4. Central angle- an angle formed by two radii. BKF is a central angle
5. Inscribed angle- an angle whose vertex is on the circle. DFE is and inscribed angle.

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Answer 2

From the figure

1. Chord - NO and PN  

2. Diameter - AB  

3. Eadius - RB

4. Central angle ∠SMT

5. Inscribed angle ∠PNO  

Given:

The figure at the right is a circle with a center R

To find:

Name the following

1. Chord, 2. diameter, 3. radius

4. Central angle, 5. Inscribed angle

Solution:

Let's know about Circle:

Circle is a two-dimensional shape in geometric, that is defined as a set of points in a plane that is at an equal distance from a point called the center.  

Chord: The line segments that connect two points on the circumference of a circle. From the figure, NO and PN are two chords of the circle.

Diameter: The diameter of a circle is the longest chord that passes through the center of the circle.

From the figure, line AB is the diameter of the circle

Radius: The line segment that connects the center of the circle and the circumference of the circle. The radius of the Circle is RB.

Central angle: The angle formed at the center of the circle.

From the figure, the angle SMT is the central angle.

Inscribed angle: An inscribed angle is an angle whose vertex is on the circumference of a circle, and whose sides intersect the circle. From the figure, the angle PNO is the Inscribed angle.

Therefore,

From the figure

1. Chord - NO and PN  

2. Diameter - AB  

3. Eadius - RB

4. Central angle ∠SMT

5. Inscribed angle ∠PNO  

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