1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
2 years ago
13

In adjoining figure a circle is inscribed in the quadrilateral ABCD given that BC is equal to 38 cm cube is equal to 27 cm and B

C equal to 25 cm and that ad is perpendicular to DC find the radius of the circle.​

Mathematics
2 answers:
vodka [1.7K]2 years ago
8 0

Answer:

14 cm

Step-by-step explanation:

<u>Given</u>

  • BQ = BR, AQ = AP, CR = CS, DP = DS = OP = OS
  • BQ = 27 cm
  • BC = 38 cm
  • DC = 25 cm

<u>Solving</u>

  • BQ = BR (given)
  • ⇒ BR = 27 cm
  • BC = BR + CR
  • 38 = 27 + CR
  • CR = 11 cm
  • ⇒ CS = 11cm
  • DC = DS + CS
  • 25 = 11 + DS
  • ⇒ DS = 14 cm
  • But, DS = OS and OP (radii)
  • ⇒ Radius = 14 cm

lukranit [14]2 years ago
5 0

<h3>Radius = 14cm</h3>

Step-by-step explanation:

Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC

Also, AD ⊥ DC (given), therefore, OPDS is a square.

BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)

therefore, CR = CB - BR = (38 - 27)cm = 11cm

SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.

therefore,

Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).

<h3>Hope it helps you!! </h3>
You might be interested in
If jenny has 1,490÷6 how will you solve it.
puteri [66]
It's 248.3333 (but with the 3s repeating)
5 0
3 years ago
Which expression is a factor of 4ab + 4a − 3b − 3?
e-lub [12.9K]
<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)

(b+1) and (4a - 3) are factors 

answer
</span><span>4a − 3</span>
7 0
3 years ago
On a special right triangle if the sides are 6 and 6 then what is the hypothinus
Black_prince [1.1K]
We are talking about a right triangle so the phytagoras equation can be used:
a^{2} + b^{2} = c^{2}
6^{2} + 6^{2} = 36 + 36 = 72 =  c^{2}
\sqrt{ c^{2} } = \sqrt{72} =8.48528...
So the hypothinus is equal to approximately 8.49
4 0
3 years ago
Write 720,080 in expanded form with exponents
Kamila [148]
7 x 10^5
+ 2 x 10^4
+ 0 x 10^3
+ 0 x 10^2
+ 8 x 10^1
+ 0 x 10^0
5 0
3 years ago
Find the sum of H.C.F and L.C.M of<br> 8 and 12
Bumek [7]

Answer:

THe HCF is 4 and the LCM is 24. The sum of 24 and 4 is 28. The answer is 28.

Step-by-step explanation:

HCF:

8: 1, 2, 4, 8

12: 1, 2, 3, 4, 6, 12.

LCM:

8: 8, 16, 24, 32, 40

12: 12, 24, 36, 48

8 0
3 years ago
Other questions:
  • What is the greatest common factor of 56, 80 and 56?
    10·2 answers
  • Find the difference between 24 1/8 minus 6 3/4
    12·2 answers
  • 3. What are the factors of<br> 9x2 - 30x + 25?
    15·1 answer
  • Record the product. use expanded form to help.<br><br>4x21=
    13·2 answers
  • Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
    15·1 answer
  • Expand and simplify 4(2x+3)+4(3x+2)
    11·1 answer
  • I need help ASAP help me answer questions and then I put a picture up
    15·1 answer
  • I need help with this asap<br><br><br>10b^4+3b^4-11
    9·1 answer
  • What is the y-intercept of the graph represented by the equation below?​
    13·2 answers
  • Can someone please help me with this?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!