
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.

Here, O is the center of the circle.
<u>⟼</u><u> </u><u>Given</u><u> </u><u>:</u>
<u>⟼</u><u> </u><u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u> </u> We have to find the radius OP.
Since QP is tangent, OP perpendicular to QP.
(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)
So, ∠OPQ=90°
<u>⟼</u><u> </u><u>By</u><u> </u><u>Applying</u><u> </u><u>Pythagoras</u><u> </u><u>Theorem</u><u> </u><u>:</u>
OP² + RQ² = OQ²
OP² + (24)² = (25)²
OP² = 625 - 576
OP² = 49
OP = √49
<u>OP</u><u> </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>
<u>Hence</u><u>,</u><u> </u><u>The</u><u> </u><u>Radius</u><u> </u><u>is</u><u> </u><u>7</u><u> </u><u>cm</u>
⠀⠀
⠀
<h3>-MissAbhi</h3>
The range is the values of y, or the values of f(x)
multiple every number in the { } by 3.2, you will get the range.
the answer is A
Answer:
3 hours
Step-by-step explanation:
D=4H+35
47=4H+35
47-35=4H
12=4H
H=3
23 is the answer you are looking for.
The picture in the attached figure
we know that
the angle measurement of central angle QRS is less than pi radians
area of the circle=pi*r²
for r=18 units
area of the circle=pi*18²------> 324*pi units²
area of the half of a circle=324*pi/2-----> 162*pi units²
area of a quarter of a circle=324*pi/4----> 81*pi units²
<span>analyzing the graph we can say that the shaded area is smaller than the area of the middle of a circle but it is larger than the area of a quarter of a circle
</span>so
the area of the shaded sector < 162*pi units²
and
the area of the shaded sector > 81*pi units²
therefore
the answer must be 144*pi units²