What is the value of a semicircular angle?
WBBSE
Class X
Mathematics
Theorem Related To Angle In A Circle
01 Mark
2022
90°
Explanation: An angle standing on a semicircle (i.e., subtended by a diameter) is a right angle.
The arc is 180°, and an inscribed angle is half of its arc ⇒ 180° ÷ 2 = 90°.
Related Questions
More WBBSE Easy level questions
1/12
Q.
‘O’ is the center of a circle and PQ is a diameter. R is a...
A.
(d) 45° Explanation: Since PR = RQ, triangle PRQ is isosceles, and...
Q.
State True/False: “The equal chords of a circle are at equal distances from the centre...
A.
True Explanation: In a circle, chords that are equal in length are...
Q.
AB is a diameter of a circle with centre O. If the chord AC subtends...
A.
(b) 30° Explanation: In a circle, the angle subtended by a chord...
Q.
The angle in the segment of a circle which is greater than a semicircle is...
A.
The angle in the segment of a circle which is greater than...
Q.
Fill up the blank : The front angle formed at the center of a circle...
A.
The front angle formed at the center of a circle by an...
Q.
O is the circumcentre of the triangle ABC. OD ⊥ BC. Prove that ∠BOD =...
A.
Given: O is the circumcentre of triangle ABC. OD is perpendicular to...
Q.
AOB is a diameter of a circle whose center is O. The point C lies...
A.
Given: AOB is a diameter of the circle with center O. Point...
Q.
AB is the diameter of the circle with centre O. From a point P on...
A.
Given: AB is the diameter of a circle with center O. From...
Q.
Prove that in any circle, angles in the same segment are equal.
A.
Given: Let ∠ACB and ∠ADB be any two angles in the segment...
Q.
Write a difference between the geometric angle and trigonometrical angle.
A.
Geometric angle: It is measured in a positive direction from the initial...
Q.
Find the value of angle in degree made by the tangent of a circle with...
A.
The tangent to a circle is always perpendicular to the radius at...
Q.
State True or False: Mode = 2 × Median – 3 × Mean.
A.
False Explanation: The correct empirical relation is: Mode = 3 × Median...