Topic Details (Notes format)

Understanding Segment of a Circle and Its Area

Subject: Mathematics

Book: Maths Mastery

A circle segment is the region enclosed by a chord and the corresponding arc. To find its area, subtract the area of the associated triangle from the area of the sector. If a chord subtends a central angle θ at the circle’s center, the sector area is (θ/360°) × πr², and the triangle area can be found via (1/2)r² sin(θ) if θ is in radians or through other geometry methods. Circle segments appear in architectural designs, track engineering, or graphics. Proficiency in calculating segment areas refines your skill in dissecting circular shapes into more manageable components.

Practice Questions

If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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