Subject: Mathematics
Book: Maths Mastery
A circle sector is the “slice” formed by two radii and their intercepted arc. Its area formula is (θ/360°) × πr² if θ is in degrees, or (θ/2π) × πr² if θ is in radians. For example, if you have a 60° sector in a circle of radius 5 cm, the area is (60°/360°) × π × 5² = (1/6) × 25π = 25π/6 cm². Sector calculations aid in figuring out slice sizes for pizza, measuring angles in mechanical parts, or analyzing partial circular designs. Mastering the sector area formula extends your ability to handle specialized circular geometry problems.
What is the value of x if log(x) + log(4) = log(32)?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionWhat is the area of a sector of a circle with radius 14 cm and central angle 90°?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View QuestionThe sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?
View QuestionThe perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?
View QuestionWhat is the square root of 121?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View Question