1. Define and give at least 2 examples of:
- Circumference of the circle
- Area of the circle
- Arc length
- Sector of a circle
- Area of the sector of the circle
- Segment of the circle
2.
Formulas:
Circumference= C = 2πr where, π= 3.14
Area= A = πr²
Try to solve:
1. Find the circumference of a circle whose radius is 10 cm.
2. What is the area of the circle if the radius is 20 cm?
3. Give the formula for:
- Diameter
- Sector of a Circle
- Arc Length
- Segment of a Circle
Answers
Answer:
1 a The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle’s circumference. example Let’s take a look.
The circumference of a circle is given by;
C = 2 * π* R = 2πR
where,
C = Circumference or perimeter,
R = the radius of a circle,
π = the mathematical constant known as Pi
2. Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc.
example Let us take a circle with radius r.
Area of a circle
In the above figure, we can see a circle, where radius r from the centre ‘o’ to the boundary of the circle. Then the area for this circle, A, is equal to the product of pi and square of the radius. It is given by;
Area of a Circle, A = πr2 square units
Here, the value of pi, π = 22/7 or 3.14 and r is the radius.
3. An arc length is measured by taking a part of the whole circle. For instance, if you had a central angle measure of 45 degrees, the arc created by this angle would be 45 out of 360 degrees or 45/360 degrees. The arc length would be found by calculating the portion of the circle, that is 45 of 360 degrees of the circle. examples Finding the variables.
θ = 60°
r=8
Step-by-step explanation:
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