Mensuration
Maharashtra Board · Class 10 · Mathematics
Summary of Mensuration for Maharashtra Board Class 10 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Mensuration is the branch of mathematics that deals with the measurement of geometric figures, including their area, volume, and surface area. This chapter builds upon your previous knowledge of 2D and 3D shapes to explore advanced concepts like frustum of cone, arc length, sector area, and segments
Key Concepts
Key formulae include
Key formulae include: Cuboid (TSA = 2(lb+bh+hl), Volume = lbh), Cube (TSA = 6l², Volume = l³), Cylinder (CSA = 2πrh, TSA = 2πr(r+h), Volume = πr²h), C
When a cone is cut parallel
When a cone is cut parallel to its base, the remaining portion is called a frustum. It has two circular bases of different radii (R and r) and height
For a circle with radius r
For a circle with radius r and central angle θ (in degrees), the length of arc = (θ/360°) × 2πr. This represents the portion of circumference correspo
A sector is the region enclosed
A sector is the region enclosed by two radii and the arc between them. Area of sector = (θ/360°) × πr², where θ is the central angle in degrees. Minor
There's a direct relationship
There's a direct relationship: Area of sector = (Arc length × Radius)/2, or A = lr/2. This provides an alternative method for calculating sector area
Learning Objectives
- Recall and apply formulae for surface area and volume of cuboid, cube, cylinder, cone, sphere, and hemisphere
- Understand and calculate surface area and volume of frustum of a cone
- Calculate length of arc and area of sector of a circle
- Find area of segments of a circle (minor and major segments)
- Establish relationships between arc length, sector area, and circle measurements
Frequently Asked Questions
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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Syllabus
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Study Plan
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