Question
Download Solution PDFIf the length of a chord, drawn at a distance of 21 cm from the centre of a circle, is 40 cm, then the radius (in cm) of the circle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Chord = 40cm
Distance from centre to chord = 21 cm
Concept:
The perpendicular drawn from the centre of the chord bisects the chord in two equal parts.
Pythagoras Theorem:
OA2 = OD2 + AD2
Calculation:
Let AB be the chord of length 40 cm.
⇒ OD be the perpendicular distance
⇒ AO be the radius of the circle
OA2 = OD2 + AD2
⇒ OA2 = 212 + (40/2)2
⇒ OA2 = 441 + 400
⇒ OA2= 841
OA = √841
OA = 29
The radius (in cm) of the circle is 29.
Last updated on Jul 9, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> Bihar Police Admit Card 2025 Out at csbc.bihar.gov.in
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> The AP DSC Answer Key 2025 has been released on its official website.
-> The UP ECCE Educator 2025 Notification has been released for 8800 Posts.