Advertisements
Advertisements
प्रश्न
The chord of length 30 cm is drawn at the distance of 8 cm from the centre of the circle. Find the radius of the circle
Advertisements
उत्तर
Distance AC = `1/2 xx "Length of chord"`
= `1/2 xx 30`
= 15 cm
Distance from the centre = 8 cm
In ΔOAC Radius (OA) = `sqrt("AC"^2 + "OC"^2)`
= `sqrt(15^2 + 8^2)`
= `sqrt(225 + 64)`
= `sqrt(289)`
= 17
Radius of the circle = 17 cm.
APPEARS IN
संबंधित प्रश्न
In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is :
(A) 3.8
(B) 7.6
(C) 5.7
(D) 1.9
In the given figure, PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP
Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle, is bisected at the point of contact.
In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BC and DC into which BC is divided by the point of contact D, are of
lengths 6cm and 9cm respectively. If the area of 2 ΔABC = 54cm2 then find the lengths of sides AB and AC.
In the given figure, PQ is chord of a circle with centre O an PT is a tangent. If
∠QPT = 60°, find the ∠PRQ.
If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then ______
A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle.
In the following figure, ∠ADC = 130° and chord BC = chord BE. Find ∠CBE.
From the figure, identify two points in the interior.
AB is a chord of a circle with centre O. AOC is diameter of circle, AT is a tangent at A.
Write answers of the following questions:
- Draw the figure using the given information.
- Find the measures of ∠CAT and ∠ABC with reasons.
- Whether ∠CAT and ∠ABC are congruent? Justify your answer.
