Q1. What is the correct formula for the area of a segment?
✔ The segment is the region remaining after removing the triangle from the sector.
Q2. If radius is 14 cm and angle is 90 degrees, what fraction of the circle is the sector?
✔ Ninety degrees is one quarter of three hundred sixty degrees.
Q3. Which common mistake should students avoid when calculating segment area?
✔ Many students calculate only the sector area and forget the subtraction step.
Show transcript
[Slide 1] Visualizing the Segment
Imagine cutting a pizza slice. The segment is the curved part remaining after removing the triangular tip. This visual helps understand the subtraction method.
[Slide 2] The Master Formula
To find the area, subtract the triangle from the sector. Remember the sector formula uses theta over three hundred sixty. The triangle area depends on the given radius and angle.
[Slide 3] Worked Example Start
Let us solve a problem with radius fourteen centimeters. The angle subtended at the center is ninety degrees. We need to find the area of the minor segment.
[Slide 4] Solving the Numbers
First calculate the sector area as one fourth of the circle. Next find the right angled triangle area using radius squared. Finally subtract the triangle value from the sector value.
[Slide 5] Avoid This Error
Students often mistake the sector area for the segment. Always remember to remove the triangular portion. Also check if your units are consistent everywhere.
[Slide 6] Quick Summary
Recap that segment area requires two main steps. Master the sector and triangle formulas separately. Regular practice ensures accuracy in board exams.