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Area of an equilateral triangle is 
cm2 . A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.
cm2 . A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle. - a)24π sq. cm
- b)32π/3 sq. cm
- c)16π sq. cm
- d)12πsq. cm
Correct answer is option 'B'. Can you explain this answer?
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Area of an equilateral triangle is cm2. A circle passes through the in...
I is the incentre => mzBIC = 120°
m(arc BDC) = 240° ... (Inscribed angle theorem)
So, m(arc BIC) = 120° => mzBOC = 120° Therefore, mZlOC = mzOIC = 60°
Thus, ΔIOC is an equilateral triangle.
ΔIEC is 30°-60°-90° triangle.
ΔIEC is 30°-60°-90° triangle.
Let IO = IC = OC = r
∴ EC = (r√3) / 2
∴ AC = (r√3)
∴ (√3 / 4) x (r√3)2 = 8√3
r2 = 32/3
πr2 = 32π/3
Hence, option 2.
∴ EC = (r√3) / 2
∴ AC = (r√3)
∴ (√3 / 4) x (r√3)2 = 8√3
r2 = 32/3
πr2 = 32π/3
Hence, option 2.
Most Upvoted Answer
Area of an equilateral triangle is cm2. A circle passes through the in...
To find the area of an equilateral triangle, we need to know the length of one of its sides. However, in this case, we are only given the area which is 8. Therefore, it is not possible to determine the length of the sides or the area of the equilateral triangle with the given information.
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Area of an equilateral triangle is cm2. A circle passes through the in...
Due to some glitch i couldn't upload the picture.But the question is quite easy.First find the side of the eq. ∆..you will grt 4√2cm.Then draw th diagram.The radius, half the chord(perpendicular drawn from centre to chord bisects the chord) and the perpendicular biscetor will form a typical 30,60,90 right angled ∆.Then use the principl to find the length of the r/hypotenuse which will be 4√2/3cm.Area will be 32π/3.
4√2/3cm aaya qki..side adjacent to 30 is 2√2.So side opp. To 90 will be 2√2 × 2/√3.If you are not familiar with ths.Go n brush up basic properties.
4√2/3cm aaya qki..side adjacent to 30 is 2√2.So side opp. To 90 will be 2√2 × 2/√3.If you are not familiar with ths.Go n brush up basic properties.
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Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer?
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Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer?.
Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of an equilateral triangle is cm2. A circle passes through the incentre of the triangle such that one side of the triangle is chord to the circle such that the other two sides of the triangle are tangent to the circle. Find the area of the circle.a)24π sq. cmb)32π/3 sq. cmc)16πsq. cmd)12πsq. cmCorrect answer is option 'B'. Can you explain this answer?.
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