Areas Related to Circles — Class 10 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Areas Related to Circles" — 9 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Areas Related to Circles" — 9 important questions with detailed answers for CBSE b…

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Key Questions Covered:

  1. A sector of a circle has radius 7 cm and central angle 60°. Find the area of …
  2. Find the perimeter of a sector with radius 10.5 cm and arc length 11 cm.
  3. The radius of a circle is 14 cm. Find the area of a segment if the central an…
  4. + 6 more questions in the full chapter

Solutions Summary:

Question Status
A sector of a circle has radius 7 cm and central angle 60… ✓ Solved
Find the perimeter of a sector with radius 10.5 cm and ar… ✓ Solved
The radius of a circle is 14 cm. Find the area of a segme… ✓ Solved

Showing 3 of 9 questions

Q1: A sector of a circle has radius 7 cm and central angle 60°. Find the area of the sector. (Use π = 22/7)

Step 1: Area of a sector = (θ/360°) × πr² Step 2: Here, θ = 60°, r = 7 cm, π = 22/7 Step 3: Area = (60°/360°) × (22/7) × 7² Step 4: Area = (1/6) × (22/7) × 49 Step 5: Area = (1/6) × 22 × 7 Step 6: Area = (1/6) × 154 Step 7: Area = 154/6 = 77/3 cm² Step 8: Area ≈ 25.67 cm² Final Answer: 77/3 cm² or a...

Q2: Find the perimeter of a sector with radius 10.5 cm and arc length 11 cm.

Step 1: Perimeter of a sector = 2r + arc length Step 2: Here, r = 10.5 cm, arc length = 11 cm Step 3: Perimeter = 2(10.5) + 11 Step 4: Perimeter = 21 + 11 Step 5: Perimeter = 32 cm Final Answer: 32 cm

Q3: The radius of a circle is 14 cm. Find the area of a segment if the central angle of the corresponding sector is 90°. (Use π = 22/7)

Step 1: Area of segment = Area of sector − Area of triangle Step 2: Area of sector = (θ/360°) × πr² = (90°/360°) × (22/7) × 14² Step 3: Area of sector = (1/4) × (22/7) × 196 Step 4: Area of sector = (1/4) × 22 × 28 Step 5: Area of sector = (1/4) × 616 = 154 cm² Step 6: Area of triangle = (1/2) × r² ...

Showing 3 of 9 questions. Visit the full page for complete solutions.