Example 1: Area of a Sector of a Circle Using Degrees What is the area of a circular sector whose radius is {eq}3 {/eq} cm and the central angle is {eq}4 5^{\circ} {/eq}?Lesson Summary Register to view this lesson Are you a student or a teacher? I am a student I am a ...
Area of a Sector Example 3 Find the area of the sector below, giving your answer to 1 decimal places. The sector has a central angle of 278° and a radius of 9.6 cm. The area of a sector: \[ A = {\theta \over 360} \pi r^2 \] where A is the area, θ is the central an...
a pizza slice is an example of a sector that represents afractionof a pizza. There are two types of sectors: minor and major sectors. A minor sector is a sector that is less than a semi-circle, whereas, a major sector is a sector greater than a semi-circle. ...
Arc of a Circle:An arc of a circle is referred to as a curve that is a part or portion of its circumference. Acute centralangleswill always produce minor arcs and small sectors. When the central angle formed by the two radii is 90o, the sector is called a quadrant because the total ...
Example: Given that the radius of the circle is 5 cm, calculate the area of the shaded sector. (Take π = 3.142). Solution: Area of sector = 60°/360° × 25π = 13.09 cm2 Calculate Central Angle Of A Sector We can calculate the central angle subtended by a sector, given the are...
Example: find the area of a sector As established, the only two measurements needed to calculate the area of a sector are its angle and radius. For example, if the angle is 45° and the radius 10 inches, the area is (45 / 360) x 3.14159 x 102= 0.125 x 3.14159 x 100 = 39.27 sq...
Arc Length and Sector Area – Example 4: Find the length of the arc. Round your answer to the nearest tenth. \((π=3.14)\) , \(r=8 cm\) ,\(\theta=30^\circ\) Solution: Use this formula: length of a sector\(=(\frac{θ}{180})πr\) ...
Find the Arc Length and the Area of a Sector of a Circle: Area of a Sector Example A circle has a radius of 7 ft and is intercepted by the central angle with a measure of5π6. Find the area of the sector of the circle.
Area of a Sector The following video shows how to calculate the Area of a Sector. The next video also shows how to calculate the Areas of Sectors. Sector AREA – Example 1 The following example shows how to calculate the AREA contained inside a “Minor” sector. ...
it is easier to remember that you are dealing with fractional parts.EXAMPLE:Find the area of a sector with a central angle of 60degrees and a radius of 10. Express answer to the Solution:EXAMPLE:Find the area of a sector with an arc length of 40 cm and a radius of 12 cm.Solution: