Question : The distance of a chord JK from the centre is 7 cm. If the diameter of this circle is 50 cm, then what will be the length of this chord?
Option 1: 74 cm
Option 2: 96 cm
Option 3: 48 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: 48 cm
Solution : The radius of the circle is half the diameter. The radius = $\frac{50}{2}$ = 25 cm Let the length of the chord JK = $2x$ cm The distance from the centre of the circle to the chord = 7 cm The perpendicular from the centre of a circle to a chord bisects the chord, So, JP = $x$ cm Applying the pythagorean theorem, we get: $⇒x = \sqrt{r^2 - d^2} = \sqrt{25^2 - 7^2} = \sqrt{576} = 24$ The length of the chord (in cm) JK $= 2x = 2 \times 24 = 48\ \text{cm}$ Hence, the correct answer is 48 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 length of the chord of a circle is 8 cm and the perpendicular distance between the centre and the chord is 3 cm, then the diameter of the circle is equal to:
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 distance of a chord OP from the centre of a circle is 6 cm. If the diameter of this circle is 20 cm, then what will be the sum of the radius and length of chord OP?
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.
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?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile