Question : A 9 cm long perpendicular is drawn from the centre of the circle to a 24 cm long chord. Find the radius of the circle.
Option 1: 17 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 15 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: 15 cm
Solution : The perpendicular drawn from the centre of the circle to the chord bisects the chord. ⇒ AM = MB = $\frac{24}{2}$ = 12 cm In the right triangle AMO, AO 2 = OM 2 + AM 2 ⇒ AO 2 = 9 2 + 12 2 ⇒ AO 2 = 225 $\therefore$ AO = 15 cm Hence, the correct answer is 15 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 : Half of the length of a chord of a circle is 12 cm and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
Question : A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. The radius of the circle is:
Question : Find the length of a tangent drawn to a circle with a radius 8 cm from a point 17 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.
Question : A chord is drawn in a circle of radius 10 cm, if the distance of the chord from the centre is 6 cm, then the length of the chord (in cm) is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile