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
In figure, PA and PB are tangents to the circle with centre O such that ∠APB = 50°. Write the measure of ∠OAB.
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.
In the given figure, the chord AB of the larger of the two concentric circles, with center O, touches the smaller circle at C. Prove that AC = CB.
The figure given below shows a circle with center O in which diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm,
find the radius of the circle.
Find the radius of the circle
Diameter = 76 cm
In the figure, a circle touches all the sides of quadrilateral ABCD from the inside. The center of the circle is O. If AD⊥ DC and BC = 38, QB = 27, DC = 25, then find the radius of the circle.
In the following figure, BC is a diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to ______.
From the figure, identify a point in the exterior.
Say true or false:
Two diameters of a circle will necessarily intersect.
The circumcentre of a triangle is the point which is ______.
