Advertisements
Advertisements
प्रश्न
In a regular pentagon ABCDE, inscribed in a circle; find ratio between angle EDA and angle ADC.
उत्तर
Arc AE subtends ∠AOE at the centre and ∠ADE at the remaining part of the circle.
∴ `∠ADE = 1/2 ∠AOE`
= `1/2 xx 72^circ`
= 36° ...[Central angle is a regular pentagon at O]
∠ADC = ∠ADB + ∠BDC
= 36° + 36°
= 72°
∴ ∠ADE : ∠ADC = 36° : 72° = 1 : 2
APPEARS IN
संबंधित प्रश्न
The figure given below, shows a Circle with centre O.
Given: ∠AOC = a and ∠ABC = b.
Find the relationship between a and b
In the figure, O is the centre of the circle, ∠AOE = 150°, ∠DAO = 51°. Calculate the sizes of the angles CEB and OCE.
In the given figure, O is the centre of the circle and ∠ABC = 55°. Calculate the values of x and y.
In the given figure, PQ is the diameter of the circle whose centre is O. Given ∠ROS = 42°, calculate ∠RTS.
In the given figure, chord ED is parallel to diameter AC of the circle. Given ∠CBE = 65°, calculate ∠DEC.
The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.
Calculate, in terms of a°, the value of : ∠ADB.
Give reasons for your answers clearly.
In the given figure, AOB is a diameter and DC is parallel to AB. If ∠ CAB = xo ; find (in terms of x) the values of: ∠ ADC.
In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find : ∠ABD
In the given figure, AB = BC = CD and ∠ABC = 132° . Calcualte: ∠ COD.
In the figure alongside O is the centre of circle ∠ XOY = 40°, ∠ TWX = 40° and XY is parallel to TZ.
Find: (i) ∠ XZY, (ii) ∠ YXZ (iii) ∠ TZY.
