Circle
A circle is a fix of points in a plane that are the same distance from a fixed betoken (chosen the middle). These set of points form the perimeter of the circle.
The radius is the altitude from the centre of the circle to any signal on its perimeter.
The circumference of a circumvolve is the perimeter of the circle.
These parts of a circle are indicated in the accompanying diagram.
Note:
The plural of radius is radii.
Lines in a Circle
The name of a line in a circumvolve depends on its position in the circle.
A secant is a line that passes through any two points on a circumvolve.
A chord is a line that joins two points on the circumference of a circle.
The bore is a chord that passes through the centre of a circle.
A tangent is a line that touches the circle at merely one betoken.
Parts of a Circle
An arc is a part of the circumference.
A sector is the office of a circle between two radii.
A segment is the part of a circle that is between a chord and the circumference.
A semicircle is a half of a circle.
Compass
A compass is an instrument used to draw circles or the parts of circles called arcs. It consists of two movable artillery hinged together where i arm has a pointed end and the other arm holds a pencil.
Note that a compass is also called a pair of compasses.
To depict a circle (or arc) with a compass:
- brand sure that the hinge at the summit of the compass is tightened so that it does not skid
- tighten the hold for the pencil so information technology also does non slip
- marshal the pencil atomic number 82 with the compass's needle
- printing down the needle and turn the knob at the top of the compass to draw a circumvolve (or arc)
Instance ii
Use a compass to depict a circle of radius 4 cm.
Solution:
Pace 1: Use a ruler to prepare the distance from the point of the compass to the pencil's atomic number 82 at four cm.
Pace 2: Identify the point of the compass at the centre of the circle.
Step 3: Depict the circle by turning the compass through 360�.
Activity 10.1
1. Use a compass to describe a circle of radius 5 cm.
2. Use a compass to describe a circle of diameter 12 cm.
3a. Apply a compass to depict a circle of radius iv.5 cm.
3b. Draw the diameter of the circle; and use a ruler to measure the length of the diameter.
3c. Write an equation to represent the relation between the radius, r, and the bore, d.
4a. Use a compass to draw a circle of radius five.5 cm.
4b. Draw a bore and characterization it PQ.
4c. Draw a triangle PQR where R is on the semicircle.
4d. Use a protractor to measure the size of bending PRQ.
5a. Use a compass to draw a circumvolve of radius 6.5 cm.
5b. Draw a bore and label it PQ.
5c. Draw a triangle PQR where R is on the semicircle.
5d. Utilise a protractor to mensurate the size of bending PRQ.
6a. Use a compass to draw a circle of radius 7.v cm.
6b. Draw a diameter and label information technology PQ.
6c. Depict a triangle PQR where R is on the semicircle.
6d. Apply a protractor to measure the size of angle PRQ.
vii. Apply the results of questions 4, v and 6 to consummate the post-obit statements:
a. The size of the angle on the diameter of a circle with a vertex on the circumvolve is �
b. If a triangle is drawn in a semicircle using the bore as an edge, the angle touching the curved office of the triangle is �
Cardinal Terms
circle, centre of a circumvolve, radius, perimeter, circumference, radii, circle lines, secant, chord, bore, tangent, circle parts, arc, sector, segment, semicircle, compass, pair of compasses
DOWNLOAD HERE
How to Draw a Circle With Compass TUTORIAL
Posted by: louisehaverse.blogspot.com
How to Draw a Circle With Compass TUTORIAL. There are any How to Draw a Circle With Compass TUTORIAL in here.
