Areas Related to Circles — Practice Quiz
Gujarat Board · Class 10 · Mathematics
Try a 4-question quiz on Areas Related to Circles for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why.
Interactive on Super Tutor
Studying Areas Related to Circles? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
Free trial, no card needed.
Quick Quiz: Areas Related to Circles
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
Find the area of a sector with radius 7 cm and central angle 60°.
Calculate the length of an arc with radius 14 cm and central angle 90°.
A sector has area 77 cm² and radius 7 cm. Find its central angle.
Find the area of a minor segment if the sector area is 38.5 cm² and the triangle area is 24.5 cm².
Sample Questions
Which of the following are correct formulas? (Select all that apply)
Show answer
Area of sector = (θ/360°) × πr², Arc length = (θ/360°) × 2πr, Area of segment = Area of sector - Area of triangle
The correct formulas are: Area of sector = (θ/360°) × πr², Arc length = (θ/360°) × 2πr, and Area of segment = Area of sector - Area of triangle. The area of circle is πr², not 2πr².
A circular field has radius 21 m. Find the area of a sector with central angle 120°.
Show answer
462 m²
Area of sector = (120°/360°) × π × 21² = (1/3) × π × 441 = 147π = 462 m²
The radius of a circle is doubled. How does this affect the area of a sector with the same central angle?
Show answer
Area becomes 4 times
Since Area ∝ r², when radius is doubled (r becomes 2r), the area becomes (2r)² = 4r², which is 4 times the original area.
Find the perimeter of a sector with radius 10 cm and central angle 72°.
Show answer
32.57 cm
Perimeter of sector = Arc length + 2 × radius = (72/360) × 2π × 10 + 2 × 10 = (1/5) × 20π + 20 = 4π + 20 = 12.57 + 20 = 32.57 cm
+41 more questions on Areas Related to Circles (Gujarat Board Class 10 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Areas Related to Circles for Gujarat Board Class 10 Mathematics?
How many practice questions are there for Areas Related to Circles?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Areas Related to Circles
For serious students
Get the full Areas Related to Circles chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 10 Mathematics. Free to start, no card needed.