Area of Quarter CircleA quarter circle means 1/4^{th} of the total area of the Circle. When a circle is partitioned into four equal parts, each part is called the quarter of the Circle, and the quarter is referred to as the quadrant of the Circle. The area of the quarter circle is ¼ the of the area of the Circle What is an Area of the Circle?A circle is a geometrical figure in which the set of all points in the plane is equidistant from a given point called the centre. Area of the circle = πr^{2} Circle and its Related TermThe circles split the plane into three division
Circular Region: The interior and the Circle comprise the circular region. Diameter: Diameter is the chord that crosses through the Circle's centre. The diameter of the Circle is the longest chord of the Circle. Properties of the Diameter
D = 2r Circumference/ Perimeter of the Circle: The complete Circle's length is called the Circle's circumference or the Circle's perimeter. The FormulaLet us assume that if a circle has a radius r, then the area of the Circle is given by A=πr^{2} Then, the area of the quarter circle is given by: ¼πr^{2} Area of the Quarter Circle Using the Diameter The diameter of the Circle is given by d = 2r Therefore, the area of the quarter circle = ¼ π(d/2)^{2} Frequently Asked QuestionQuestion: Determine the area of a quarter circle if the Circle has a radius of 7cm. Ans: From the question, we know that Radius = 7 cm The area of the quarter circle =πr^{2}/4 Question: What do you mean by the radius of the quarter circle? Answer: The Circle's radius equals the radius of the quarter circle, which is the length of a segment from the center of the Circle to the outside edge. Question: What do you understand by the area of the quadrant? Ans: The area of a quarter circle, i.e., πr^{2}/4 is equal to the area of the quadrant. Question: How will you determine the area of the quarter circle when the perimeter/ circumference of the Circle is given? Ans: Circumference of the Circle is given by: C= 2πr Where r = radius of the Circle π = 22/ 7, From the above formula, we can get the value of the radius Put the value of the radius into the formula, i.e., . Question: The price for wiring a circular field is fixed at Rs 25 per meter, which is Rs 5000. The field is to be sold at the price of Rs 0.25 per m^{2}. Determine the cost of the field. Cost of 1 m^{2} of the field = Rs 0.25 The total cost of the field = 3180.18 × 0.25 = Rs795.04 Question: The area of the Circle is 50 m^{2}. Find the Radius. Answer: Area of the Circle = A=πr^{2} 50 =πr^{2}
Next TopicHow to Calculate Cubic Meter Volume
