In below example I’m loading Account object Industry picklist field values in Lightning Radio Group.

Apex Controller:

public class SampleController {
    
    @AuraEnabled //Save Account Data
    Public static void createAccount(Account objacc){
        try{
            //Insert Account Record
            insert objacc; 
            
        }catch(Exception e){
            //throw exception message
            throw new AuraHandledException(e.getMessage());
        }
        finally {
        }
    }
    
    @AuraEnabled //get Account Industry Picklist Values
    public static Map<String, String> getIndustry(){
        Map<String, String> options = new Map<String, String>();
        //get Account Industry Field Describe
        Schema.DescribeFieldResult fieldResult = Account.Industry.getDescribe();
        //get Account Industry Picklist Values
        List<Schema.PicklistEntry> pList = fieldResult.getPicklistValues();
        for (Schema.PicklistEntry p: pList) {
            //Put Picklist Value & Label in Map
            options.put(p.getValue(), p.getLabel());
        }
        return options;
    }
}

Lightning Component:

<!--Sample.cmp-->
<aura:component controller="SampleController" implements="flexipage:availableForAllPageTypes,force:appHostable">
    
    <!--Declare Attributes-->
    <aura:attribute name="industryMap" type="Map"/>
    <aura:attribute name="acc" type="Account" default="{'sobjectType':'Account', 
                                                       'Name': '',
                                                       'AccountNumber': '',
                                                       'Email': '',
                                                       'Phone': '', 
                                                       'Industry': ''}"/>
    
    <!--Declare Handler-->
    <aura:handler name="init" value="{!this}" action="{!c.doInit}"/>  
    
    <!--Component Start-->
    <div class="slds-m-around--xx-large">
        <div class="container-fluid">
            <div class="form-group">
                <lightning:input name="accName" type="text" required="true" maxlength="50" label="Account Name" value="{!v.acc.Name}" />
            </div>
            <div class="form-group">
                <lightning:input name="accNumber" type="text" required="true" maxlength="10" label="Account Number" value="{!v.acc.AccountNumber}" />
            </div>
            <div class="form-group">
                <lightning:input name="accEmail" type="email" required="true" maxlength="100" label="Email" value="{!v.acc.Email}" />
            </div>
            <div class="form-group">
                <lightning:input name="accPhone" type="phone" required="true" maxlength="10" label="Phone" value="{!v.acc.Phone}" />
            </div>
            <div class="form-group">
                <!--Lightning radio group component-->
                <lightning:radioGroup name="radioGroup"
                                      label="Industry"
                                      required="true"
                                      options="{!v.industryMap}"
                                      value="{!v.acc.Industry}"
                                      type="radio"/>
            </div>
        </div>
        <br/>
        <lightning:button variant="brand" label="Submit" onclick="{!c.handleAccountSave}" />              
    </div>
    <!--Component End-->
</aura:component>

Lightning Component Controller:

({
    //Load Account Industry Picklist
    doInit: function(component, event, helper) {        
        helper.getIndustryPicklist(component, event);
    },
    
    //handle Account Save
    handleAccountSave : function(component, event, helper) {
        helper.saveAccount(component, event);
    },
    
    //handle Industry Picklist Selection
    handleCompanyOnChange : function(component, event, helper) {
        var indutry = component.get("v.acc.Industry");
        alert(indutry);
    }
})

Lightning Component Helper:

({
    //get Industry Picklist Value
    getIndustryPicklist: function(component, event) {
        var action = component.get("c.getIndustry");
        action.setCallback(this, function(response) {
            var state = response.getState();
            if (state === "SUCCESS") {
                var result = response.getReturnValue();
                var industryMap = [];
                for(var key in result){
                    industryMap.push({label: result[key], value: key});
                }
                component.set("v.industryMap", industryMap);
            }
        });
        $A.enqueueAction(action);
    },
    
    //handle Account Save
    saveAccount : function(component, event) {
        var acc = component.get("v.acc");
        var action = component.get("c.createAccount");
        action.setParams({
            objacc : acc
        });
        action.setCallback(this,function(response){
            var state = response.getState();
            if(state === "SUCCESS"){
                alert('Record is Created Successfully');
            } else if(state === "ERROR"){
                var errors = action.getError();
                if (errors) {
                    if (errors[0] && errors[0].message) {
                        alert(errors[0].message);
                    }
                }
            }else if (status === "INCOMPLETE") {
                alert('No response from server or client is offline.');
            }
        });       
        $A.enqueueAction(action);
    }
})

Output: