The radius of a circle is 10 m. Find the circumference to the nearest tenth.
2 answers:
Answer:
Step-by-step explanation:
<h2>Given that :</h2>- The radius of a circle is 10 m.
- Find the circumference to the nearest tenth.
- circumference = 2 × π × r
π = 22/7
r = 10 m
<h2>explanation :</h2>⟼ c = 2πr
⟼ c = 2 × 22/7 × 10 m
⟼ c = 2 × 3•14 × 10m
⟼ c = 6•28 × 10 m
⟼ c = 62•8 m
<h2>Round to the nearest tenth :</h2>⟼ c = 62•8 m
⟼ c = 60 m
∴ circle circumference is 60 m.
You might be interested in
Step-by-step explanation:
To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.
We can do this by taking each statement, expression by expression. For example, to show that
[~p ∧ (p ∨ q)] → q
is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively
Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q
TERMINOLOGIES AND SYMBOLS
- T means Truth
- F means False
- ~p means negation of p.
~p is F if p is T, and vice versa
- ∧ means conjunction.
p ∧ q is T only if p is T and q is T.
- ∨ means disjunction.
p ∨ q is T if either p or q is T.
- → is for conditional 'if then'
p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.
THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.
