Some Arcs are shown in the circle with centre O. Write the names of the minor arcs, major arcs and semicircle arcs from among them.
Answer
Verified
477.6k+ views
Hint: if we join any two points on the circle to the centre of the circle then the portion of circumference between these two points will be called the arc of the circle. We will learn more about the minor arcs, major arcs and semicircle arcs.
Complete step by step answer:
We are given a circle with centre at O, we have to tell which is the minor arc, major arc and semicircle arc.
A minor arc is an arc which is smaller than a semicircle. A central angle which is subtended by the end points of a minor arc has a measure less than 180°. On contrary to this A major arc is an arc which is more than a semicircle. A central angle which is subtended by the end points of a major arc has a measure more than 180.
Looking in the diagram of circle we can say that if we join point X with Point O,
So, if you consider length QX will be the minor arc of this circle. Then length QRX will be the major arc, similarly if we join OP, and say QXP is the minor arc then length QRP will be the major arc of this circle
Now the semicircle arcs it means both the end points of the chord are exactly opposite to each other, making an angle exactly 180 degree at centre. So, length QPR is the semicircle arc.
Note: If the minor arc produces an angle x at centre then the major arc will produce 360-x degree at centre. Sum of minor arc and major arc is equal to the circumference of the circle.
Complete step by step answer:
We are given a circle with centre at O, we have to tell which is the minor arc, major arc and semicircle arc.
A minor arc is an arc which is smaller than a semicircle. A central angle which is subtended by the end points of a minor arc has a measure less than 180°. On contrary to this A major arc is an arc which is more than a semicircle. A central angle which is subtended by the end points of a major arc has a measure more than 180.
Looking in the diagram of circle we can say that if we join point X with Point O,
So, if you consider length QX will be the minor arc of this circle. Then length QRX will be the major arc, similarly if we join OP, and say QXP is the minor arc then length QRP will be the major arc of this circle
Now the semicircle arcs it means both the end points of the chord are exactly opposite to each other, making an angle exactly 180 degree at centre. So, length QPR is the semicircle arc.
Note: If the minor arc produces an angle x at centre then the major arc will produce 360-x degree at centre. Sum of minor arc and major arc is equal to the circumference of the circle.
Recently Updated Pages
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE
In case of conflict between fundamental rights of citizens class 7 social science CBSE
Can anyone list 10 advantages and disadvantages of friction
What are the Components of Financial System?
Complete the letter given below written to your Principal class null english null
Express the following as a fraction and simplify a class 7 maths CBSE
Trending doubts
Who was Subhash Chandra Bose Why was he called Net class 10 english CBSE
Saptarishi is the Indian name of which Constellation class 10 social science CBSE
Complete the sentence with the most appropriate word class 10 english CBSE
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
List out three methods of soil conservation
Who is the executive head of the government APresident class 10 social science CBSE