Subject: Mathematics
Book: Maths Mastery
Arc length measures the distance along the circle’s circumference for a given central angle. The formula is (θ/360°) × 2πr if θ is in degrees, or (θ/2π) × 2πr if θ is in radians. For instance, for a 90° arc in a circle of radius 4 cm, the length is (90/360) × 2π × 4 = (1/4) × 8π = 2π cm. Arc length comes up in mechanical gears, track layouts, or partial circular fences. Understanding how to translate angles into actual arc distances is crucial for geometry applications that require precise measurement of curved lines.
If x:y = 2:3 and z:y = 4:3, what is x:z?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionIf sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?
View QuestionWhat is the probability of drawing a king from a standard deck of 52 playing cards?
View QuestionWhat is the remainder when 5^100 is divided by 3?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionWhat is the HCF of 72 and 120?
View Question