Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
100 views
in Aptitude by (115k points)
closed by
The wheel of an engine turns 280 times round its axle to cover a distance of 1.76 km. What is the measurement of the longest chord of wheel?
1. 175 cm
2. 200 cm
3. 260 cm
4. 340 cm

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 2 : 200 cm

Given:

Number of rounds = 280 

Total distance = 1.76 km

Formula Used:

Circumference of circle = 2πr

Total distance = Number of rounds × Distance covered in 1 round

Radius = Diameter/2

Calculation: 

1 km = 100000 cm

⇒ 1.76 km  = 176000 cm

Total distance = Number of rounds × Distance covered in 1 round

⇒ 176000 = 280 × Distance covered in 1 round

⇒ 176000/280 = Distance covered in 1 round

Circumference of circle = Distance covered in 1 round

⇒ 176000/280 = 2 × 22/7 × r

⇒ 100 cm = r

⇒ Diameter = 2 × 100 = 200 cm

∴ Measurement of the longest chord of wheel is 200 cm.

The correct option is 2 i.e. 200 cm

The longest chord of the circle is the diameter of the circle.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...