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
romanna [79]
3 years ago
14

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i

s 5 cm. Find the area of the quadrilateral
Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

You might be interested in
Can someone help me out please
lbvjy [14]
16 is the answer jxhsjcjaks
5 0
2 years ago
Trapezoid ABCD is congruent to trapezoid . Which sequence of transformations could have been used to transform trapezoid ABCD to
telo118 [61]
<span>C. Trapezoid ABCD was rotated 90° counterclockwise around the origin and then reflected across the x-axis.</span>
3 0
3 years ago
Read 2 more answers
Which angle measures create a triangle with three different side lengths?
kenny6666 [7]

13°, 66°, and 101° ......

8 0
3 years ago
PLEAAASE HELP ME ON #5 PLEAAASE IM DESPERATE IM RLLY SYRESSSEDDD TAKE 45 PTS
Lina20 [59]
I believe the answer should be x equals 37

4 0
3 years ago
Read 2 more answers
Which relationship describes angles 1 and 2?
nirvana33 [79]
The answer to this is Complementary Angles. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Use the divergence theorem to calculate the outward flux of f=r|r|f=r|r| where r=⟨x,y,z⟩r=⟨x,y,z⟩ across ss: the hemisphere z=16
    8·1 answer
  • Which one is smaller; 0.0175, 0.65, or 0.876
    7·1 answer
  • Use substitution to find the solution to the system of equations. 5x+7y=-29 y=x+1
    13·1 answer
  • determine if you can use the HL congruence theorem to prove the triangles congruent. if not, tell what else you need to know
    14·1 answer
  • Can someone help with this question? I only have 1 answer choice left
    7·1 answer
  • Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th
    11·2 answers
  • Please help!!!!!!!!!
    9·1 answer
  • Which fraction is equivalent to 0.36¯¯¯¯¯?<br><br> 3/9<br><br> 4/11<br><br> 4/9<br><br> 5/11
    14·1 answer
  • Example 15
    14·1 answer
  • Help now pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!