If the radius of a circle is 30 cm, find the length of a chord which is 10 cm from the center?
Answer: 40√2 cm
Explanation
Given radius (r) = 30 cm and distance from center to chord (d) = 10 cm
Let's find the length of the chord using the formula:
Length = 2√(r² - d²)
= 2√(30² - 10²)
= 2√(900 - 100)
= 2√800
= 2√(400 × 2)
= 2 × 20√2
= 40√2 cm
This question appeared in
Past Papers (5 times)
ETEA 25 Years Past Papers Subject Wise (Solved) (2 times)
ETEA Past Papers (1 times)
KPK Teacher Past Papers SST PST CT TT PET (2 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- If the radius of a circle is 30cm. Find the length of a chord which is 10cm from the center?
- A chord is 5 cm from the center of a circle of radius 13 cm. The length of the chord is?
- The radius of the circle is 10cm and the length is one of its chords is 12 cm then the distance of the chord from the center is:
- Find the length of tangent drawn to a circle of radius 6 cm from a point at a distance of 10 cm from the center of the circle?
- The distance of a chord from the center of a circle is 3 cm, and the length of the chord is 8 cm. What is the diameter?
- A chord is 3cm from the centre of a circle of radius 5cm. The length of the chord is _____?
- The triangle formed by joining endpoints of a chord of a circle( whose length is less than the radial segment) to the center of the circle will be.
- If an object is revolving in circular path of radius 2m and during its motion, it traverses an arc of length 4m then the angle (in radian) made at the center of the circle by it is
- An arc length 6 cm of a circle subtends an angle θ at the center O of diameter 4 cm. Find the value of θ?
- Find the length of an arc of a circle of radius 6 cm which subtends an angle of 30° at the centre.
