ABC is a right angled triangle. The circle with centre at D is drawn and AB & BC are tangents to it. The lengths of AB & AC are given above.
Calculate the small area in red, bounded by CA, CB & the arc of the circle.
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Interesting Geometry Problem...
- Thread starter imhotep
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ABC is a right angled triangle. The circle with centre at D is drawn and AB & BC are tangents to it. The lengths of AB & AC are given above.
Calculate the small area in red, bounded by CA, CB & the arc of the circle.
i saw solving this on a popular mathematics youtube channel, aaaand i don't remember it now 
I got this from a WhatsApp group.... Anyone interested should work out on their own.i saw solving this on a popular mathematics youtube channel, aaaand i don't remember it now
Last edited:
1. calculate tan(B) and angle B
2. AD = AB.tan(B/2)
3. calculate DC.
4. if BC touches the circle at E, CDE triangle area can be calculated because we know DE (radius) and one angle.
5. calculate the area of the sector DCE using radius and angle B.
6 answer is 4 - 5
2. AD = AB.tan(B/2)
3. calculate DC.
4. if BC touches the circle at E, CDE triangle area can be calculated because we know DE (radius) and one angle.
5. calculate the area of the sector DCE using radius and angle B.
6 answer is 4 - 5
Yes.. But do the calculation... It's interesting.
Yes.. The hypotenuse BC turns out to be exactly 4 + 2 √3 and the angle ABC is 30 degrees.
mechchra marenne nathuwa ganna wena kramayk thiyanwda ? hypotenuse nm daannma ona une na..
This is the shortest...mechchra marenne nathuwa ganna wena kramayk thiyanwda ? hypotenuse nm daannma ona une na..
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