I was having trouble recognizing angles in segments before this video. But this video cleared all my confusions regarding this topic. Great video. Even the examples taken were difficult and great, considering this video is made to help students.
THANK YOU AGAIN! i think i’ve commented on ur videos before haha😂.but i never ever rlly understood circle theorems which is why i dropped marks on that section in my maths test. already 3 mins in and everything feels clearer. DON’T STOP WHAT YOU’RE DOING! THANK YOU SO MUCH!
Have you an idea? How can I solve this problem, please? Given a square ABCD of side 10 cm, and using the corners as centers ,construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P,Q, R and S . Find the area enclosed by PQRS. Thank you so much .
11:54 is it not angles of the same segment? Isn't angle CAB and COB 58°? I'm so confused 😕😭 Or does it have to be on the circumference for the theorem (angles in the same segment) to apply?
1: Angles in same segment are equal. 2:angles in a semicircle or on diameter is right angle mean 90°.3: the angle at the centre is twice the angle at the circumference.
Another way to calculate angle BCF in the second worked example is toagain observe ACD is 35 deg (isoceles triangle) and ACB is 90 deg (since AB is a diameter), so angle BCD is 125. This means that BAD is 55 deg (cycilc quadrilateral) so BAD is 20 deg (55 deg - 35 deg) as is BCF.
Example 2: It's much easier: ACD = 35°; because the legs of the triangle are the same lenght ACB = 90°; same reason (Diameter) DCE = 35° (Last theorem) FCB = 180° - 35° - 35° - 90° = 20°
The angle at the centre and circumference must start and end at the same points. COB and CAB both start at C and end at B so they come from the chord CB. Angle ABC however comes from the chord AC.
Thanks for sharing, although I am not sure it is really any simpler? There are often many ways to approach circle theorems questions. As long as you're clear it's all good!
I do like to say the sequence of theorems should be arranged as follows Theorem 3 should be the first. first will be 2 2 will be 3 Then the theorem 4 Why? The theorems 1,2,4 (according to your sequence )are based on theorem 3(according to your sequence)
