Advertisements
Advertisements
प्रश्न
On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).
Advertisements
उत्तर
It is given that, AB as diameter, O is centre and`angle CAB = 30°`
We have to find `m angleACB` and ` m angleABC`
Since angle in a semi-circle is a right angle therefore
`angleACB = 90°`
In Δ ACD we have
`angleCAB` = 30° (Given)
`angleACB `= 90° (Angle in semi-circle is right angle)
Now in Δ ACB we have
`angleCAB + angleACB + angleABC `= 180
`angleABC = 180° - (angle CAB + angleCAB )`
=180° - (90° + 30° )
= 180° - 120°
= 60°
Hence `angle ABC = 60°` and `angleACB = 90°`
APPEARS IN
संबंधित प्रश्न
From a point P, 10 cm away from the centre of a circle, a tangent PT of length 8 cm is drawn. Find the radius of the circle.
In Fig below, PQ is tangent at point R of the circle with center O. If ∠TRQ = 30°. Find
∠PRS.
In the fig. ABC is right triangle right angled at B such that BC = 6cm and AB = 8cm. Find the radius of its in circle.
If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is
Two concentric circles with center O have A, B, C, D as the points of intersection with the lines L shown in the figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.
In the given figure, if ZRPS = 25°, the value of ZROS is ______
If a chord AB subtends an angle of 60° at the centre of a circle, then the angle between the tangents at A and B is ______
O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that ∠BOD = ∠A.
Is every diameter of a circle also a chord?
A 7 m broad pathway goes around a circular park with a circumference of 352 m. Find the area of road.
