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Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?
- a)125π/4 sq cms
- b)100π/7 sq cms
- c)125π/8 sq cms
- d)52π/3 sq cms
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two mutually perpendicular chords AB and CD meet at a point P inside t...
As AB and CD are two chords that intersect at O, AP x PB = CP x PD
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
The question is "What is the area of the circle?"
Hence, the answer is 125π/4 sq cms.
Choice A is the correct answer.
Most Upvoted Answer
Two mutually perpendicular chords AB and CD meet at a point P inside t...
As AB and CD are two chords that intersect at O, AP x PB = CP x PD
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
The question is "What is the area of the circle?"
Hence, the answer is 125π/4 sq cms.
Choice A is the correct answer.
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Community Answer
Two mutually perpendicular chords AB and CD meet at a point P inside t...
As AB and CD are two chords that intersect at O, AP x PB = CP x PD
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
6 x 4 = CP x 3
CP = 8
From center O draw OM ⊥r AB and ON ⊥r CD.
From the center a line ⊥r to a chord bisects the chord.
So, we have AM = MB = 5 cm
MP = 1 cm, ON = 1 cm, CD = 11 cm, CN = 5.5 cm
ON2 + CN2 = OC2
12 + 5.52 + r2
1 + 30.25 = r2
Area = πr2
π x 31.25
31.25π = 125π/4 sq cms
The question is "What is the area of the circle?"
Hence, the answer is 125π/4 sq cms.
Choice A is the correct answer.
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Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two mutually perpendicular chords AB and CD meet at a point P inside the circle such that AP = 6 cms, PB = 4 units and DP = 3 units. What is the area of the circle?a)125π/4 sq cmsb)100π/7 sq cmsc)125π/8 sq cmsd)52π/3 sq cmse)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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