Question : The circumference of a circle is $58 \pi$ cm. There is a chord XY of length 42 cm in this circle. What is the distance of this chord XY from the centre?
Option 1: 32 cm
Option 2: 20 cm
Option 3: 28 cm
Option 4: 24 cm
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 20 cm
Solution : Circumference = $2\pi r$ ⇒ $58\pi=2\pi r$ ⇒ $r = 29$ cm In triangle XOP, XP = 21 cm OX = 29 cm Apply Pythagoras' theorem, we get $OX^2 = OP^2 + XP^2$ $29^2= OP^2 + 21^2$ ⇒ $OP^2= 841 - 441$ ⇒ $OP^2 = 400$ ⇒ $OP = 20$ cm Hence, the correct answer is 20 cm.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The perpendicular distance from the centre of a circle to the chord is 20 cm. Calculate the chord's length in centimetres if the circle's diameter is 58 cm.
Question : A chord of length 48 cm is at a distance of 7 cm from the centre of the circle. What is the length of the chord of the same circle which is at a distance of 15 cm from the centre of the circle?
Question : The sum of the angles made by a chord XY at the centre and on the circumference of the circle is 270°. If the radius of this circle is 24 cm, then what will be the length of this chord?
Question : A chord of length 40 cm is at a distance of 15 cm from the centre. What is the length of the chord of the same circle which is at a distance of 20 cm from the centre of the circle?
Question : In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile