In the adjoing figure, in a circle with centre 0, length
of chord AB is equal to the radius of the circle. Find
measure of each of the following.
a. ZAOB
b. ZACB
arc AB
Solve the following questions : (Any two)
A bucket is in the form of a frustum of a cone and holds 28.490 liters of water. The radi
of the top and bottom are 28cm and 21 cm respectively. Find the height of the bucket.
P.T.O.
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where is the figure
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so your answer is
Step-by-step explanation:
In the adjoing figure, in a circle with centre 0, length
of chord AB is equal to the radius of the circle. Find
measure of each of the following.
a. ZAOB
b. ZACB
arc AB
Solve the following questions : (Any two)
A bucket is in the form of a frustum of a cone and holds 28.490 liters of water. The radi
of the top and bottom are 28cm and 21 cm respectively. Find the height of the bucket.
ANSWERAnswer
(1)In ∆AOB,
AB = OA = OB = radius of circle
⇒ ∆AOB is an equilateral triangle
∠ AOB + ∠ ABO + ∠ BAO = 180° {Angle sum property}
⇒ 3∠ AOB = 180° {All the angles are equal}
∠ AOB = 60°
(2)∠ AOB = 2 × ∠ ACB {The measure of an inscribed angle is half the measure of the arc intercepted by it.}
⇒∠ ACB = 30°
(3)∠ AOB = 60°
⇒arc(AB) = 60° {The measure of a minor arc is the measure of its central angle.}
(4) Using Measure of a major arc = 360°- measure of its corresponding minor arc
⇒arc(ACB) = 360° - arc(AB)
⇒arc(ACB) = 360° - 60° = 300°
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