In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

Assessment: WAEC SSCE - General Mathematics - 2004 (Objective) Subject: General Mathematics

Question 1 Report


In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

Answer Details
Since POQ is the diameter of the circle, we know that angle POR = 90 degrees. Therefore, angle QOR is also 90 degrees because it is vertically opposite to angle POR. Since QR is a chord of the circle, angle QRS is half of the angle subtended by the same chord at the circumference of the circle, which is angle QOR. Thus, angle QRS = 1/2 * angle QOR = 1/2 * 90 degrees = 45 degrees. Therefore, the answer is 45 degrees, which is 35o.
Read lesson note on Circles (WAEC)
View Answer

Related Questions

1

In the diagram, \(R\hat{P}Q = Q\hat{R}Y, \hspace{1mm} P\hat{Q}R = R\hat{Y}Q, \\ \hspace{1mm}|QP| = 3cm \hspace{1mm}|QY| = 4cm \hspace{1mm}and \hspace{1mm}|RY...
2

Solve for t in the equation \(\frac{3}{4}t+\frac{1}{3}(21-t)\) = 11,
3

Given that sin (5x - 28)o = cos (3x - 50)o,0 < x < 90o, find the value of x
4

There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?
5

Find the value of x in the diagram
6

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
7

1. Evaluate \( 202^2_{three} - 112^2_{three}\)
8

If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning