alleryA 10 m ladder reaches 8 m up a wall. How far is its foot from the wall?
- 5 m
- 7 m
- 8 m
- 6 m
Show answer and solution
Correct answer: D. 6 m
The ground distance is the square root of 100 - 64 = 36, which is 6 m.
RRB NTPC Geometry and Trigonometry — practice questions — page 2
Explore 94 free Geometry and Trigonometry questions in RRB NTPC Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 94.
A 10 m ladder reaches 8 m up a wall. How far is its foot from the wall?Read the answer and worked solution →Which is the longest chord of a circle?Read the answer and worked solution →A circle has a radius of 9 cm. What is the length of its longest chord?Read the answer and worked solution →An angle inscribed in a semicircle measures how much?Read the answer and worked solution →A central angle is 80°. What is the inscribed angle on the same arc?Read the answer and worked solution →One angle of a cyclic quadrilateral is 75°. What is the opposite angle?Read the answer and worked solution →What is the angle between a tangent and the radius at the point of contact?Read the answer and worked solution →Tangents PA and PB are drawn from an outside point P. If PA = 7 cm, what is PB?Read the answer and worked solution →A point is 13 cm from the centre of a circle of radius 5 cm. How long is the tangent from it?Read the answer and worked solution →Chords intersect inside a circle. One is cut into 4 and 6, the other into 3 and x. Find x.Read the answer and worked solution →A tangent of 6 cm and a secant meet at an outside point. The secant's outer part is 4 cm. What is the whole secant?Read the answer and worked solution →Two chords of a circle are the same distance from its centre. What follows about them?Read the answer and worked solution →A chord of 16 cm lies in a circle of radius 10 cm. How far is the chord from the centre?Read the answer and worked solution →Taking pi as 22/7, what is the circumference of a circle of radius 7 cm?Read the answer and worked solution →A circular park has radius 14 m. With pi = 22/7, how much ground does it cover?Read the answer and worked solution →The circumference of a circle is 88 cm. Using pi as 22/7, what is its radius?Read the answer and worked solution →A circle has area 154 sq cm (pi = 22/7). What is its diameter?Read the answer and worked solution →If the radius of a circle is doubled, its area becomes how many times larger?Read the answer and worked solution →If a circle's radius becomes three times larger, its circumference becomes what?Read the answer and worked solution →Dividing any circle's circumference by its diameter always gives which constant?Read the answer and worked solution →A region bounded by two radii and an arc of a circle is called what?Read the answer and worked solution →The part of a disc cut off by a chord and the arc over it is called what?Read the answer and worked solution →The ring-shaped region between two concentric circles is called what?Read the answer and worked solution →A straight line cutting a circle at two points is called what?Read the answer and worked solution →What do we call a line that meets a circle at only one point of contact?Read the answer and worked solution →A full turn of 360 degrees equals how many radians?Read the answer and worked solution →Convert a right angle into radian measure.Read the answer and worked solution →A sector's central angle is 60°. Express this angle in radian measure.Read the answer and worked solution →A sector has angle 90° and radius 14 cm. Using pi = 22/7, what is its area?Read the answer and worked solution →An arc subtends 60° at the centre of a circle of radius 21 cm. Using pi = 22/7, find its length.Read the answer and worked solution →
Worked practice questions
Which is the longest chord of a circle?
- Secant
- Radius
- Tangent
- Diameter
Show answer and solution
Correct answer: D. Diameter
A chord through the centre spans the greatest possible distance between two points on the circle.
A circle has a radius of 9 cm. What is the length of its longest chord?
- 18 cm
- 9 cm
- 12 cm
- 15 cm
Show answer and solution
Correct answer: A. 18 cm
The longest chord is the diameter, twice the radius, so 18 cm.
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