An arc of a circle is referred to as a curve that is a part or portion of its circumference. Acute centralangleswill always produce minor arcs and small sectors. When the central angle formed by the two radii is 90o, the sector is called a quadrant because the total circle comprises fou...
That angle is opposite the arc it creates on that circle's circumference. How can the measure of an angle within a circle be found? The means of finding the measure of an angle associated with a circle depends on the location of the angle in reference to that circle. Different formulas ...
A circle has a radius of 12 inches and is intercepted by a central angle with a measure ofπ2. Find the arc length of this sector. Step 1:Note the radius and angle measure: radius:12 inches Angle measure in radians:π2 Step 2:Thus, because our angle measure is in radians, we are...
We can find the angle of the intercept of two chords by applying the theorem of angles formed by two chords. Answer and Explanation: We are given a circle. We are required to find the measure of angle {eq}1 {/eq}. First, we can see that two strings intersect in the ...
The length of an arc, or simply, the arc length is the length of a portion along the circumference of a circle that is intercepted by a central. In fact, the circumference of a circle is the arc length that corresponds to a central angle of {eq}360^\circ {/eq} or {...
Calculate the length of the arc of a circle of radius 31.0 cm which subtands and angle ofπ6at the centre. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT ...
We know that in a circle of radius r unit, if an arc of length I unit subtends an angle θ radian at the centre, then θ=lr∴π3=arc AB20⟹arc AB=203π cm Was this answer helpful? 463Similar Questions Q1 In a circle of diameter 40 cm, the length of a chord is 20 cm. ...
in mathematics, the length of the arc is determined by using the radius and the central angle θ(either in degrees or radians). it is known that when the arc length is equal to the circumference of the circle, the angle is equal to 360° (2π). in this case, the proportion between...
Find the area of the sector of a circle with radius 5 cm and angle 60∘. View Solution Knowledge Check What is the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm? A8.5 cm2 B8.75 cm2 C7.75 cm2 D125 cm2Submit The area of a sector of a ...
The length arcsis equal to the radiusrtimes the central angleθin radians. Unit Circle Theunit circleis a circle with a radius equal to 1, centered on the origin (0, 0). It is used to calculate the cosine, sine, and tangent of any angle within the circle, although it is most commo...